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: 9

Answer

x=4/9

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 9x=4. We divide both sides of the equation by 9 to isolate x and obtain: x=4/9. We now must check our solution: $3$$\sqrt{4/9} = 2 \\\\\ 3(2/3)=2 \\\\ 2=2$ This is true, so x=4/9
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