Chapter 9 - Roots and Radicals - 9.5 - Solving Radical Equations - Problem Set 9.5 - Page 424: 7

x=9/4

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