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: 25

Answer

$$d=2,\:d=-1$$

Work Step by Step

Completing the square to solve the equation, we find: $$d^2-d-2+\left(-\frac{1}{2}\right)^2-\left(-\frac{1}{2}\right)^2 \\ \left(d-\frac{1}{2}\right)^2-2-\left(-\frac{1}{2}\right)^2 \\ \left(d-\frac{1}{2}\right)^2-\frac{9}{4} \\ \left(d-\frac{1}{2}\right)^2=\frac{9}{4} \\ d=2,\:d=-1$$
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