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For the following exercises, find the equation of the line with the given information. 22. Solve this quadratic equation and write the two complex roots in a + b i form: x 2 − 4 x + 7 = 0 .

For the following exercises, find the equation of the line with the given information. 22. Solve this quadratic equation and write the two complex roots in a + b i form: x 2 − 4 x + 7 = 0 .

College Algebra

College Algebra

1st Edition

ISBN: 9781938168383

Author: Jay Abramson

Publisher: OpenStax

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Textbook Question

Chapter 2, Problem 22PT

For the following exercises, find the equation of the line with the given information.

22. Solve this quadratic equation and write the two complex roots in a + b i form:

x 2 − 4 x + 7 = 0 .

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Chapter 2, Problem 21PT

Chapter 2, Problem 23PT

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Chapter 2 Solutions

College Algebra

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State the excluded values.Ch. 2.2 - Solve the rational equation: 2x2+1x+1=1x2x2.Ch. 2.2 - Find the slope of the line that passes through the...Ch. 2.2 - Given m=4 , find the equation of the line in...Ch. 2.2 - Find the equation of the line in standard from...Ch. 2.2 - Find the equation of the line passing through...Ch. 2.2 - Graph the two lines and determine whether they are...Ch. 2.2 - Find the equation of the line parallel to 5x=7+y...Ch. 2.2 - What does it mean when we say that two lines are...Ch. 2.2 - What is the relationship between the slopes of...Ch. 2.2 - How do we recognize when an equation, for example...Ch. 2.2 - What does it mean when we say that a linear...Ch. 2.2 - When solving the following equation: 2x5=4x+1...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve the equation...Ch. 2.2 - For the following exercises, solve each rational...Ch. 2.2 - For the following exercises, solve each rational...Ch. 2.2 - For the following exercises, solve each rational...Ch. 2.2 - For the following exercises, solve each rational...Ch. 2.2 - For the following exercises, solve each rational...Ch. 2.2 - For the following exercises, solve each rational...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, find the equation of...Ch. 2.2 - For the following exercises, graph the pair of...Ch. 2.2 - For the following exercises, graph the pair of...Ch. 2.2 - For the following exercises, graph the pair of...Ch. 2.2 - For the following exercises, graph the pair of...Ch. 2.2 - For the following exercises, find the slope of the...Ch. 2.2 - For the following exercises, find the slope of the...Ch. 2.2 - For the following exercises, find the slope of the...Ch. 2.2 - For the following exercises, find the slope of the...Ch. 2.2 - For the following exercises, find the slope of the...Ch. 2.2 - For the following exercises, find the slope of the...Ch. 2.2 - For the following exercises, find the slope of the...Ch. 2.2 - For the following exercises, express the equations...Ch. 2.2 - For the following exercises, express the equations...Ch. 2.2 - For the following exercises, express the equations...Ch. 2.2 - Starting with the point-slope formula yy1=m(xx1) ,...Ch. 2.2 - Starting with the standard form of an equation...Ch. 2.2 - Use the above derived formula to put the following...Ch. 2.2 - Given that the following coordinates are the...Ch. 2.2 - Find the slopes of the diagonals in the previous...Ch. 2.2 - The slope for a wheelchair ramp for a home has to...Ch. 2.2 - If the profit equation for a small business...Ch. 2.2 - For the following exercises, use this scenario:...Ch. 2.2 - For the following exercises, use this scenario:...Ch. 2.2 - For the following exercises, use this scenario:...Ch. 2.3 - Find a linear equation to solve for the following...Ch. 2.3 - Find a linear equation to model this real-world...Ch. 2.3 - On Saturday morning, it took Jennifer 3.6 h to...Ch. 2.3 - Find the dimensions of a rectangle given that the...Ch. 2.3 - A game room has a perimeter of 70 ft. The length...Ch. 2.3 - To set up a model linear equation to fit...Ch. 2.3 - Use your own words to describe tins equation...Ch. 2.3 - If the total amount of money you had to invest was...Ch. 2.3 - If a man sawed a 10-ft board into two sections and...Ch. 2.3 - If Bill was traveling v mi/h, how would you...Ch. 2.3 - For the following exercises, use the information...Ch. 2.3 - For the following exercises, use the information...Ch. 2.3 - For the following exercises, use the information...Ch. 2.3 - For the following exercises, use this scenario:...Ch. 2.3 - For the following exercises, use this scenario:...Ch. 2.3 - For the following exercises, use this scenario:...Ch. 2.3 - For the following exercises, use this scenario:...Ch. 2.3 - For the following exercises, use this scenario: A...Ch. 2.3 - For the following exercises, use this scenario: A...Ch. 2.3 - For the following exercises, use this scenario: A...Ch. 2.3 - For the following exercises, use this scenario: A...Ch. 2.3 - For exercises 17 and 18, use this scenario: A...Ch. 2.3 - For exercises 17 and 18, use this scenario: A...Ch. 2.3 - For exercises 17 and 18, use this scenario: A...Ch. 2.3 - Ben starts walking along a path at 4 mi/h. One and...Ch. 2.3 - Fiora starts riding her bike at 20 mi/h. After a...Ch. 2.3 - A chemistry teacher needs to mix a 30% salt...Ch. 2.3 - Paul has $20,000 to invest. His intent is to...Ch. 2.3 - For the following exercises, use this scenario: A...Ch. 2.3 - For the following exercises, use this scenario: A...Ch. 2.3 - For the following exercises, use this scenario: A...Ch. 2.3 - For the following exercises, use this scenario: A...Ch. 2.3 - For the following exercises, find the slope of the...Ch. 2.3 - For the following exercises, find the slope of the...Ch. 2.3 - For the following exercises, find the slope of the...Ch. 2.3 - For the following exercises, find the slope of the...Ch. 2.3 - For the following exercises, solve for the given...Ch. 2.3 - For the following exercises, solve for the given...Ch. 2.3 - For the following exercises, solve for the given...Ch. 2.3 - For the following exercises, solve for the given...Ch. 2.3 - For the following exercises, solve for the given...Ch. 2.3 - For the following exercises, solve for the given...Ch. 2.3 - For the following exercises, solve for the given...Ch. 2.3 - For the following exercises, solve for the given...Ch. 2.3 - 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Subtract 2+5ifrom34i .Ch. 2.4 - Find the product: 12(52i).Ch. 2.4 - Multiply: (34i)(2+3i) .Ch. 2.4 - Find the complex conjugate of 3+4i .Ch. 2.4 - Evaluate: i18 Ch. 2.4 - Explain how to add complex numbers.Ch. 2.4 - What is the basic principle in multiplication of...Ch. 2.4 - Give an example to show that the product of two...Ch. 2.4 - What is a characteristic of the plot of a real...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, plot the complex...Ch. 2.4 - For the following exercises, plot the complex...Ch. 2.4 - For the following exercises, plot the complex...Ch. 2.4 - For the following exercises, plot the complex...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - For the following exercises, perform the indicated...Ch. 2.4 - 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For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.4 - For the following exercises, evaluate the...Ch. 2.5 - Factor and solve the quadratic equation: x25x6=0.Ch. 2.5 - Solve the quadratic equation by factoring:...Ch. 2.5 - Solve by factoring: x225=0 .Ch. 2.5 - Solve using factoring by grouping: 12x2+11x+2=0.Ch. 2.5 - Solve by factoring: x3+11x2+10x=0.Ch. 2.5 - Solve the quadratic equation using the square root...Ch. 2.5 - Solve by completing the square: x26x=13 .Ch. 2.5 - Solve the quadratic equation using the quadratic...Ch. 2.5 - Use the Pythagorean Theorem to solve the right...Ch. 2.5 - How do we recognize when an equation is quadratic?Ch. 2.5 - When we solve a quadratic equation, how many...Ch. 2.5 - When we solve a quadratic equation by factoring,...Ch. 2.5 - In the quadratic formula, what is the name of the...Ch. 2.5 - Describe two scenarios where using the square root...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercise, solve the quadratic...Ch. 2.5 - For the following exercise, solve the quadratic...Ch. 2.5 - For the following exercise, solve the quadratic...Ch. 2.5 - For the following exercise, solve the quadratic...Ch. 2.5 - For the following exercise, solve the quadratic...Ch. 2.5 - For the following exercise, solve the quadratic...Ch. 2.5 - For the following exercise, solve the quadratic...Ch. 2.5 - For the following exercise, solve the quadratic...Ch. 2.5 - For the following exercise, solve the quadratic...Ch. 2.5 - For the following exercise, solve the quadratic...Ch. 2.5 - For the following exercise, solve the quadratic...Ch. 2.5 - For the following exercise, solve the quadratic...Ch. 2.5 - For the following exercise, solve the quadratic...Ch. 2.5 - For the following exercises, determine the...Ch. 2.5 - For the following exercises, determine the...Ch. 2.5 - For the following exercises, determine the...Ch. 2.5 - For the following exercises, determine the...Ch. 2.5 - For the following exercises, determine the...Ch. 2.5 - For the following exercises, determine the...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, solve the quadratic...Ch. 2.5 - For the following exercises, enter the expressions...Ch. 2.5 - For the following exercises, enter the expressions...Ch. 2.5 - For the following exercises, enter the expressions...Ch. 2.5 - For the following exercises, enter the expressions...Ch. 2.5 - For the following exercises, enter the expressions...Ch. 2.5 - Beginning with the general form of a quadratic...Ch. 2.5 - Show that the sum of the two solutions to the...Ch. 2.5 - A person has agarden that has a length 10 feet...Ch. 2.5 - Abercrombie and Fitch stock had a price given as...Ch. 2.5 - Suppose that an equation is given p=2x2+280x1000 ,...Ch. 2.5 - A formula for the normal systolic blood pressure...Ch. 2.5 - The cost function for a certain company is...Ch. 2.5 - A falling object travels a distance given by the...Ch. 2.5 - A vacant lot is being converted into a community...Ch. 2.5 - An epidemiological study of the spread of a...Ch. 2.6 - Evaluate 6413.Ch. 2.6 - Solve the equation x32=125 .Ch. 2.6 - Solve: (x+5)32=8 .Ch. 2.6 - Solve by factoring: 12x4=3x2 .Ch. 2.6 - Solve the radical equation: x+3=3x1 Ch. 2.6 - Solve the equation with two radicals: 3x+7+x+2=1.Ch. 2.6 - Solve the absolute value equation: |14x|+8=13 .Ch. 2.6 - Solve using substitution: x48x29=0 .Ch. 2.6 - Solve: (x5)24(x5)21=0.Ch. 2.6 - Solve 3x+2x2+1x=2x22x.Ch. 2.6 - In a radical equation, what does it mean if a...Ch. 2.6 - Explain why possible solutions must be checked in...Ch. 2.6 - Your friend tries to calculate the valut? 932 and...Ch. 2.6 - Explain why |2x+5|=7 has no solutions.Ch. 2.6 - Explain how to change a rational exponent into the...Ch. 2.6 - For the following exercises, solve the rational...Ch. 2.6 - For the following exercises, solve the rational...Ch. 2.6 - For the following exercises, solve the rational...Ch. 2.6 - For the following exercises, solve the rational...Ch. 2.6 - For the following exercises, solve the rational...Ch. 2.6 - For the following exercises, solve the rational...Ch. 2.6 - For the following exercises, solve the rational...Ch. 2.6 - For the following exercises, solve the following...Ch. 2.6 - For the following exercises, solve the following...Ch. 2.6 - For the following exercises, solve the following...Ch. 2.6 - For the following exercises, solve the following...Ch. 2.6 - For the following exercises, solve the following...Ch. 2.6 - For the following exercises, solve the following...Ch. 2.6 - For the following exercises, solve the following...Ch. 2.6 - For the following exercises, solve the radical...Ch. 2.6 - For the following exercises, solve the radical...Ch. 2.6 - For the following exercises, solve the radical...Ch. 2.6 - For the following exercises, solve the radical...Ch. 2.6 - For the following exercises, solve the radical...Ch. 2.6 - For the following exercises, solve the radical...Ch. 2.6 - For the following exercises, solve the radical...Ch. 2.6 - For the following exercises, solve the radical...Ch. 2.6 - For the following exercises, solve the radical...Ch. 2.6 - For the following exercises, solve the equation...Ch. 2.6 - For the following exercises, solve the equation...Ch. 2.6 - For the following exercises, solve the equation...Ch. 2.6 - For the following exercises, solve the equation...Ch. 2.6 - For the following exercises, solve the equation...Ch. 2.6 - For the following exercises, solve the equation...Ch. 2.6 - For the following exercises, solve the equation...Ch. 2.6 - For the following exercises, solve the equation...Ch. 2.6 - For the following exercises, solve the equation by...Ch. 2.6 - For the following exercises, solve the equation by...Ch. 2.6 - For the following exercises, solve the equation by...Ch. 2.6 - For the following exercises, solve the equation by...Ch. 2.6 - For the following exercises, solve the equation by...Ch. 2.6 - For the following exercises, solve for the unknown...Ch. 2.6 - For the following exercises, solve for the unknown...Ch. 2.6 - For the following exercises, solve for the unknown...Ch. 2.6 - For the following exercises, solve for the unknown...Ch. 2.6 - For the following exercises, use the model for the...Ch. 2.6 - For the following exercises, use the model for the...Ch. 2.6 - For the following exercises, use a model for body...Ch. 2.6 - For the following exercises, use a model for body...Ch. 2.7 - Use interval notation to indicate all real numbers...Ch. 2.7 - Express all real numbers less than —2 or greater...Ch. 2.7 - Solve: 3x21 Ch. 2.7 - Solve: 4x+72x3 .Ch. 2.7 - Solve the inequality and write the answer using...Ch. 2.7 - Solve the inequality and write the answer in...Ch. 2.7 - Solve the compound inequality: 42x810.Ch. 2.7 - Solve the compound inequality: 3y45y5+3y .Ch. 2.7 - Describe all x-values within a distance of 3 from...Ch. 2.7 - Solve 2|k4|6 Ch. 2.7 - When solving an inequality, explain what happened...Ch. 2.7 - When solving an inequality, we arrive at: x+2x+3...Ch. 2.7 - When writing our solution in interval notation,...Ch. 2.7 - When solving an inequality, we arrive at: x+2x+3 ....Ch. 2.7 - Describe how to graph y=|x3|Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality....Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, solve the inequality...Ch. 2.7 - For the following exercises, describe all the...Ch. 2.7 - For the following exercises, describe all the...Ch. 2.7 - For the following exercises, describe all the...Ch. 2.7 - For the following exercises, describe all the...Ch. 2.7 - For the following exercises, solve the compound...Ch. 2.7 - For the following exercises, solve the compound...Ch. 2.7 - For the following exercises, solve the compound...Ch. 2.7 - For the following exercises, solve the compound...Ch. 2.7 - For the following exercises, solve the compound...Ch. 2.7 - For the following exercises, graph the function....Ch. 2.7 - For the following exercises, graph the function....Ch. 2.7 - For the following exercises, graph the function....Ch. 2.7 - For the following exercises, graph the function....Ch. 2.7 - For the following exercises, graph the function....Ch. 2.7 - For the following exercises, graph both straight...Ch. 2.7 - For the following exercises, graph both straight...Ch. 2.7 - For the following exercises, graph both straight...Ch. 2.7 - For the following exercises, graph both straight...Ch. 2.7 - For the following exercises, graph both straight...Ch. 2.7 - For the following exercises, write the set in...Ch. 2.7 - For the following exercises, write the set in...Ch. 2.7 - For the following exercises, write the set in...Ch. 2.7 - For the following exercises, write the set in...Ch. 2.7 - For the following exercises, write the interval in...Ch. 2.7 - For the following exercises, write the interval in...Ch. 2.7 - For the following exercises, write the interval in...Ch. 2.7 - For the following exercises, write the interval in...Ch. 2.7 - For the following exercises, write the set of...Ch. 2.7 - For the following exercises, write the set of...Ch. 2.7 - For the following exercises, write the set of...Ch. 2.7 - For the following exercises, input the left-hand...Ch. 2.7 - For the following exercises, input the left-hand...Ch. 2.7 - For the following exercises, input the left-hand...Ch. 2.7 - For the following exercises, input the left-hand...Ch. 2.7 - For the following exercises, input the left-hand...Ch. 2.7 - Solve 3x+1=2x+3 Ch. 2.7 - Solve x2x12 Ch. 2.7 - 61. x5x+70,x7 Ch. 2.7 - p=x2+130x3,000 is a profit formula for a small...Ch. 2.7 - In chemistry the volume for a certain gas is given...Ch. 2.7 - A basic cellular package costs $20/mo. for 60 min...Ch. 2 - For the following exercises, find the x-intercept...Ch. 2 - For the following exercises, find the x-intercept...Ch. 2 - For each of the following exercises, solve for y...Ch. 2 - For each of the following exercises, solve for y...Ch. 2 - For the following exercises, find the distance...Ch. 2 - For the following exercises, find the distance...Ch. 2 - For the following exercises, find the distance...Ch. 2 - For the following exercises, find the coordinates...Ch. 2 - For the following exercises, find the coordinates...Ch. 2 - For the following exercises, construct a table and...Ch. 2 - For the following exercises, construct a table and...Ch. 2 - For the following exercises, solve for x. 12....Ch. 2 - For the following exercises, solve for x. 13....Ch. 2 - For the following exercises, solve for x. 14....Ch. 2 - For the following exercises, solve for x. 15....Ch. 2 - For the following exercises, solve for x. 16....Ch. 2 - For the following exercises, solve for x. State...Ch. 2 - For the following exercises, solve for x. 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