Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 4 Quadratic Functions and Factoring - Chapter Review - Page 321: 36

Answer

$$x=\sqrt{\frac{11}{3}}+2,\:x=-\sqrt{\frac{11}{3}}+2$$

Work Step by Step

We complete the square to find: $$3\left(x^2-4x+\frac{1}{3}\right) \\ 3\left(\left(x-2\right)^2+\frac{1}{3}-\left(-2\right)^2\right) \\ 3\left(x-2\right)^2-11 \\ x=\sqrt{\frac{11}{3}}+2,\:x=-\sqrt{\frac{11}{3}}+2$$
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