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: 16

Answer

No solution

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 5x+3=16. We subtract by 3 on both sides and then divide both sides of the equation by 5 to isolate x and obtain: x=13/5. We now must check our solution: $\sqrt{(13/5)(5) +3} = -4 \\\\\ \sqrt {16}=-4 \\\\ 4=-4$ This is not true, so there is no solution.
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