Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 3 - Quadratic Functions - Exercises for Skills for Completing the Square - Page 138: 27



Work Step by Step

Completing the square to solve the equation, we find: $$ 2\left(s^2+5s-\frac{1}{2}+\left(\frac{5}{2}\right)^2-\left(\frac{5}{2}\right)^2\right) \\ 2\left(\left(s+\frac{5}{2}\right)^2-\frac{1}{2}-\left(\frac{5}{2}\right)^2\right) \\ 2\left(s+\frac{5}{2}\right)^2-\frac{27}{2} \\ \left(s+\frac{5}{2}\right)^2=\frac{27}{4} \\ s=\frac{3\sqrt{3}-5}{2},\:s=\frac{-3\sqrt{3}-5}{2}$$
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