Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 10 - Radical Functions and Equations - 10.3 - Solving Radical Equations - Monitoring Progress - Page 560: 2

Answer

$x=100$

Work Step by Step

The given equation is $\Rightarrow \sqrt{x}-7=3$ Add $7$ to each side. $\Rightarrow \sqrt{x}-7+7=3+7$ Simplify. $\Rightarrow \sqrt{x}=10$ Square each side of the equation. $\Rightarrow (\sqrt{x})^2=10^2$ Simplify. $\Rightarrow x=100$ Check $x=100$. $\Rightarrow \sqrt{x}-7=3$ $\Rightarrow \sqrt{100}-7=3$ $\Rightarrow 10-7=3$ $\Rightarrow 3=3$ True. Hence, the solution is $x=100$.
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