Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 10 - Quadratic Equations - 10.2 - Completing the Square - Problem Set 10.2: 17

Answer

The answer is below.

Work Step by Step

We use completing the square to obtain: $ x^2 +4x -2/3 = 0 \\ x^2 +4x = 2/3 \\ x^2 + 4x +4 = 14/3 \\ (x+2)^2 = 14/3 \\ x+2 = \sqrt{14/3} \\ x = \frac{-6 \pm\sqrt{42}}{3}$$
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