Algebra 2 (1st Edition)

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

Chapter 4 Quadratic Functions and Factoring - 4.8 Use the Quadratic Formula and the Discriminant - 4.8 Exercises - Skill Practice - Page 297: 50

Answer

$$x=-3\pm\sqrt3$$

Work Step by Step

The student should not have used the quadratic formula until the solution was set equal to zero. Thus, we first put the function in the form $ax^2+bx+c$. Then, using the quadratic formula, we obtain: $$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$ $$x=\frac{-6\pm \sqrt{(6)^2-4(1)(6)}}{2(1)}$$ $$x=-3\pm\sqrt3$$
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