Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 9 - Roots and Radicals - 9.5 - Solving Radical Equations - Concept Quiz 9.5 - Page 424: 5

Answer

True

Work Step by Step

Solving the equation by squaring each side of the equation and simplifying, we obtain: $\sqrt {x+1}=-2$ $(\sqrt {x+1})^{2}=(-2)^{2}$ $x+1=4$ $x=4-1$ $x=3$ As $\sqrt {3+1}\ne-2$, $3$ is not a solution to this equation. Therefore, the statement of the question is true.
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