Algebra 2 (1st Edition)

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

Chapter 9 Quadratic Relations and Conic Sections - Prerequisite Skills - Page 612: 10

Answer

$$x=1,\:x=-4$$

Work Step by Step

Completing the square to solve, we find: $$3\left(x^2+3x-4\right) \\ 3\left(x^2+3x-4+\left(\frac{3}{2}\right)^2-\left(\frac{3}{2}\right)^2\right) \\ 3\left(x+\frac{3}{2}\right)^2-\frac{75}{4} \\ \left(x+\frac{3}{2}\right)^2=\frac{25}{4} \\ x=1,\:x=-4$$
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