Explanation Definition used: Standard q uadratic equation: “An equation in which the variable appears to the second power, but to no higher power, is called a quadratic equation . A standard quadratic equation can be expresses as, a x 2 ︸ + b x ︸ + c ︸ = 0 ↓ ↓ ↓ [ x 2 -term ] [ x -term ] [ Constant term ] That is every quadratic equation must have x 2 -term, but the x -term or constant tem may be missing.” Procedure used: 1. Identify the values of a , b and c by comparing the given equation with the standard quadratic equation a x 2 + b x + c = 0 . 2. Substitute the values of a , b and c into the quadratic equation formula x = − b ± b 2 − 4 a c 2 a . 3. Simplify the equation for x . 4. Check the solution by back substituting the values of x in the original equation. Calculation: The given quadratic equation is 2 x 2 + 6 x + 3 = 0 . Step 1: Identify the values of a , b and c by comparing the given equation with the standard quadratic equation a x 2 + b x + c = 0 . 2 x 2 ︸ + 6 x ︸ + 3 ︸ = 0 ↓ ↓ ↓ [ a = 2 ] [ b = 6 ] [ c = 3 ] Step 2: Substitute the values of a , b and c into the quadratic equation formula x = − b ± b 2 − 4 a c 2 a

11th Edition

ISBN: 2818440003295

Author: CARMAN

Publisher: PEARSON CP

See similar textbooks

Videos

Question

Chapter 11.2, Problem 15BE

To determine

To solve: The equation 2x2+6x+3=0.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 11.2, Problem 14BE

Chapter 11.2, Problem 16BE

Students have asked these similar questions

Let y(t) represent your retirement account balance, in dollars, after t years. Each year the account earns 7% interest, and you deposit 8% of your annual income. Your current annual income is $34000, but it is growing at a continuous rate of 2% per year. Write the differential equation modeling this situation. dy dt

8:37 ▬▬▬▬▬▬▬▬▬ Ο Graph of f The figure shows the graph of a periodic function f in the xy-plane. What is the frequency of f? 0.5 B 2 C 3 D 8 3 of 6 ^ Oli Back Next apclassroom.collegeboard.org

2. The growth of bacteria in food products makes it necessary to time-date some products (such as milk) so that they will be sold and consumed before the bacteria count is too high. Suppose for a certain product that the number of bacteria present is given by f(t)=5000.1 Under certain storage conditions, where t is time in days after packing of the product and the value of f(t) is in millions. The solution to word problems should always be given in a complete sentence, with appropriate units, in the context of the problem. (a) If the product cannot be safely eaten after the bacteria count reaches 3000 million, how long will this take? (b) If t=0 corresponds to January 1, what date should be placed on the product?

Chapter 11 Solutions

MYLAB MATH FOR MATHEMATICS FOR THE TRAD

Ch. 11.1 - Simplify: 2(3 + 2y) 3y Ch. 11.1 - Prob. 2LC Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 5AE Ch. 11.1 - Solve each of the following systems of equations...Ch. 11.1 - Prob. 7AE Ch. 11.1 - Solve each of the following systems of equations...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.

The equation 2 x 2 + 6 x + 3 = 0 .

Solution Summary: The author explains the solution of the equation 2x2+6x+3=0 by comparing the given equation with the standard quadratic equation.

Videos

To solve: The equation 2x2+6x+3=0.

Want to see the full answer?

Chapter 11 Solutions