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: 26



Work Step by Step

Completing the square to solve the equation, we find: $$ 2\left(r^2+2r-\frac{5}{2}+1^2-1^2\right) \\ 2\left(\left(r+1\right)^2-\frac{5}{2}-1^2\right) \\ 2\left(r+1\right)^2-7 \\ \left(r+1\right)^2=\frac{7}{2} \\ r=\sqrt{\frac{7}{2}}-1,\:r=-\sqrt{\frac{7}{2}}-1$$
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