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

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ISBN: 8220100803055

Author: SAUNDERS

Publisher: PEARSON

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Chapter 11.2, Problem 15BE

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

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Chapter 11.2, Problem 14BE

Chapter 11.2, Problem 16BE

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Chapter 11 Solutions

EBK MATHEMATICS FOR THE TRADES

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...Ch. 11.1 - Prob. 1BE Ch. 11.1 - Solve each of the following systems of equations....

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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.

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

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Chapter 11 Solutions