Answer
$x=-84,78$
Work Step by Step
When taking the square root of a number, you get a positive and a negative answer.
$-2(x+3)^2+11=-151$
$-2(x+3)^2=-162$
$(x+3)^2=81$
$x+3=81$
$x=78$
or
$x+3=-81$
$x=-84$.
So
$x=-84,78$.
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 4 - Quadratic Functions - 4.4 Solving Quadratic Equations by the Square Root Property and Completing the Square - 4.4 Exercises - Page 346: 12
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