Elementary Algebra

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

Chapter 10 - Quadratic Equations - 10.1 - Quadratic Equations - Concept Quiz 10.1 - Page 442: 10

Answer

False

Work Step by Step

We solve the equation using the square root property: $(x-6)^{2}=0$ $\sqrt {(x-6)^{2}}=\sqrt 0$ $x-6=\pm 0$ $x-6=0$ or $x-6=0$ $x=6$ or $x=6$ Therefore, the solution set of the equation is {$6$}. It can be seen that the solution set consists of only one integer, and as a result, the statement of the question is false.
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