Chapter 9 - Roots and Radicals - 9.5 - Solving Radical Equations - Problem Set 9.5 - Page 424: 6

No solution

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 2x=64. We divide both sides of the equation by 2 to isolate x and obtain: x=32. We now must check our solution: $\sqrt{32 \times 2} = -8 \\\\\ \sqrt {64}=-8 \\\\ 8 = -8$ This is not true, so there is no solution.