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: 24

Answer

$$p=\sqrt{7}+1,\:p=-\sqrt{7}+1$$

Work Step by Step

Completing the square to solve the equation, we find: $$ p^2-2p-6+\left(-1\right)^2-\left(-1\right)^2 \\ \left(p-1\right)^2-6-\left(-1\right)^2 \\ \left(p-1\right)^2-7 \\ \left(p-1\right)^2=7 \\ p=\sqrt{7}+1,\:p=-\sqrt{7}+1$$
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