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 296: 43

Answer

$$x=5/14, -2.5$$

Work Step by Step

When given the choice to use any method, the quadratic formula is a good choice because it will always work. We first check that the function is in the form $ax^2+bx+c$. Then, using the quadratic formula, we obtain: $$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$$ $$x=\frac{-60\pm \sqrt{(60)^2-4(28)(-25)}}{2(28)}$$ $$x=5/14, -2.5$$
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