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 - Problem Set 9.5 - Page 424: 11



Work Step by Step

Recall, in order to cancel out a square root, we square both sides of the equation. Thus, we square both sides of the equation to obtain that 2n-3=25. We add 3 to both sides of the equation and then divide both sides of the equation by 2 to isolate n and obtain: n=14 We now must check our solution: $\sqrt{2(14)-3} = 5 \\\\\ \sqrt {25}=5 \\\\ 5=5$ This is true, so n=14.
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