Elementary Algebra
17th Edition
ISBN: 9780998625713
Author: Lynn Marecek, MaryAnne Anthony-Smith
Publisher: OpenStax - Rice University
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Textbook Question
Chapter 10.2, Problem 67E
In the following exercises, complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
67.
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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
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complete the square to make a perfect square trinomial then write as a binomial squared
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Chapter 10 Solutions
Elementary Algebra
Ch. 10.1 - Solve: x2=81 .Ch. 10.1 - Solve: y2=121 .Ch. 10.1 - Solve: x250=0 .Ch. 10.1 - Solve: y227=0 .Ch. 10.1 - Solve: 2x2=98 .Ch. 10.1 - Solve: 3z2=108 .Ch. 10.1 - Solve: c2+12=0 .Ch. 10.1 - Solve: d2+81=0 .Ch. 10.1 - Solve: 12x2+4=24 .Ch. 10.1 - Solve: 34y23=18 .
Ch. 10.1 - Solve: 5r22=34 .Ch. 10.1 - Solve: 3t2+6=70 .Ch. 10.1 - Solve: (q+5)2=1 .Ch. 10.1 - Solve: (r3)2=25 .Ch. 10.1 - Solve: (a3)2=18 .Ch. 10.1 - Solve: (b+2)2=40 .Ch. 10.1 - Solve: (x13)2=59 .Ch. 10.1 - Solve: (y34)2=716 .Ch. 10.1 - Solve: (a5)2+4=24 .Ch. 10.1 - Solve: (b3)28=24 .Ch. 10.1 - Solve: (3r+4)2=8 .Ch. 10.1 - Solve: (3r+4)2=8 .Ch. 10.1 - Solve: x26x+9=12 .Ch. 10.1 - Solve: y2+12y+36=32 .Ch. 10.1 - Solve: 9m212m+4=25 .Ch. 10.1 - Solve: 16n2+40n+25=4 .Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - In the following exercises, solve the following...Ch. 10.1 - 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In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - In the following exercises, solve using the Square...Ch. 10.1 - Paola has enough mulch to cover 48 square feet....Ch. 10.1 - Kathy is drawing up the blueprints for a house she...Ch. 10.1 - Explain why the equation x2+12=8 has no solution.Ch. 10.1 - Explain why the equation y2+8=12 has two...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Complete the square to make a perfect square...Ch. 10.2 - Solve c2+4c=5 by completing the square.Ch. 10.2 - Solve d2+10d=9 by completing the square.Ch. 10.2 - Solve r24r=12 by completing the square.Ch. 10.2 - Solve t210t=11 by completing the square.Ch. 10.2 - Solve y210y=35 by completing the square.Ch. 10.2 - Solve z2+8z=19 by completing the square.Ch. 10.2 - Solve x216x=16 by completing the square.Ch. 10.2 - Solve y2+8y=11 by completing the square.Ch. 10.2 - Solve a2+4a+9=30 by completing the square.Ch. 10.2 - Solve b2+8b4=16 by completing the square.Ch. 10.2 - Solve p2=5p+9 by completing the square.Ch. 10.2 - Solve q2=7q3 by completing the square.Ch. 10.2 - Solve (c2)(c+8)=7 by completing the square.Ch. 10.2 - Solve (d7)(d+3)=56 by completing the square.Ch. 10.2 - Solve 2m2+16m8=0 by completing the square.Ch. 10.2 - Solve 4n224n56=8 by completing the square.Ch. 10.2 - Solve 3r22r=21 by completing the square.Ch. 10.2 - Solve 4t2+2t=20 by completing the square.Ch. 10.2 - Solve 4x2+3x=12 by completing the square.Ch. 10.2 - Solve 5y2+3y=10 by completing the square.Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - In the following exercises, complete the square to...Ch. 10.2 - 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Solve b2+10b+24=0 by using the Quadratic Formula.Ch. 10.3 - Solve 2p2+8p+5=0 by using the Quadratic Formula.Ch. 10.3 - Solve 5q211q+3=0 by using the Quadratic Formula.Ch. 10.3 - Solve 3m2+12m+7=0 by using the Quadratic Formula.Ch. 10.3 - Solve 5n2+4n4=0 by using the Quadratic Formula.Ch. 10.3 - Solve 4a23a+8=0 by using the Quadratic Formula.Ch. 10.3 - Solve 5b2+2b+4=0 by using the Quadratic Formula.Ch. 10.3 - Solve x(x+2)5=0 by using the Quadratic Formula.Ch. 10.3 - Solve y(3y1)2=0 by using the Quadratic Formula.Ch. 10.3 - Solve 14c213c=112 by using the Quadratic Formula.Ch. 10.3 - Solve 19d212d=12 by using the Quadratic Formula.Ch. 10.3 - Solve r2+10r+25=0 by using the Quadratic Formula.Ch. 10.3 - Solve 25t240t=16 by using the Quadratic Formula.Ch. 10.3 - Determine the number of solutions to each...Ch. 10.3 - Determine the number of solutions to each...Ch. 10.3 - Identify the most appropriate method to use to...Ch. 10.3 - Identify the most appropriate method to use to...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - In the following exercises, solve by using the...Ch. 10.3 - 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She wants...Ch. 10.3 - Solve the equation x2+10x=200 (a) by completing...Ch. 10.3 - Solve the equation 12y2+23y=24 (a) by completing...Ch. 10.4 - The product of two consecutive odd integers is 99....Ch. 10.4 - The product of two consecutive odd integers is...Ch. 10.4 - Find the dimensions of a triangle whose width is...Ch. 10.4 - If a triangle that has an area of 110 square feet...Ch. 10.4 - The sun casts a shadow from a flag pole. The...Ch. 10.4 - The distance between opposite corners of a...Ch. 10.4 - The length of a 200 square foot rectangular...Ch. 10.4 - A rectangular tablecloth has an area of 80 square...Ch. 10.4 - An arrow is shot from the ground into the air at...Ch. 10.4 - A man throws a ball into the air with a velocity...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - In the following exercises, solve by using methods...Ch. 10.4 - 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Find the intercepts of the parabola y=x24x5 .Ch. 10.5 - Find the intercepts of the parabola y=x212x36 .Ch. 10.5 - Find the intercepts of the parabola y=9x2+12x+4 .Ch. 10.5 - Graph the parabola y=x2+2x8 .Ch. 10.5 - Graph the parabola y=x28x+12 .Ch. 10.5 - Graph the parabola y=3x2+12x12 .Ch. 10.5 - Graph the parabola y=25x2+10x+1 .Ch. 10.5 - Graph the parabola y=2x26x+5 .Ch. 10.5 - Graph the parabola y=2x21 .Ch. 10.5 - Graph the parabola y=5x2+10x+3 .Ch. 10.5 - Graph the parabola y=3x26x+5 .Ch. 10.5 - Find the maximum or minimum value of the quadratic...Ch. 10.5 - Find the maximum or minimum value of the quadratic...Ch. 10.5 - The quadratic equation h=16t2+128t+32 is used to...Ch. 10.5 - A toy rocket shot upward from the ground at a rate...Ch. 10.5 - In the following exercises, graph: 163. y=x2+3Ch. 10.5 - In the following exercises, graph: 164. y=x2+1Ch. 10.5 - In the following exercises, determine if the...Ch. 10.5 - In the following exercises, determine if the...Ch. 10.5 - In the following exercises, determine if the...Ch. 10.5 - 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- In the following exercises, complete the square to make a perfect square trinomial. Then write the result as a binomial squared. 72. (a) n216n (b) y2+15y (c) q2+34qarrow_forwardComplete the square to make a perfect square trinomial. Write the result as a binomial square. y2+12yarrow_forwardComplete the square to make a perfect square trinomial. Then write the result as a binomial squared. (a) a220a (b) m25m (c) p2+14parrow_forward
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- Use the substitution x = a + b to rewrite the trinomial 9(a + b)2 − 17(a + b) − 2.arrow_forward5m²t – 10m² + t² – 2t =arrow_forwardKim is making a bouquet for her friend. She used x tulips and some daffodils in the bouquet. The number of daffodils is equal to the square root of the number of tulips. If the total number of flowers in the bouquet is 20, find the number of tulips.arrow_forward
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