Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Exercise Set - Page 767: 92


The solutions are complex.

Work Step by Step

The equation presented is $(3m+2)^{2}+4=1$. The first step of solving this equation is to subtract four from both sides, leaving us with $(3m+2)^{2}=−3$. Next, one would take the square root of both sides; however, as $\sqrt {-3}$ is imaginary, the solutions to the equation are complex.
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