Solve.
-$$x = 8 + 2 \sqrt { x }$$
A) $\{ 8 \}$
B) $\{ 16 \}$
C) $\{ 32 \}$
D) $\{ 12 \}$

Question

Quizplus · Accepted Answer

To solve the equation $x = 8 + 2 \sqrt { x }$, we can square both sides to eliminate the square root, leading to $x^2 = 64 + 32\sqrt{x} + 4x$. Rearranging gives $x^2 - 4x - 64 = 32\sqrt{x}$. Squaring both sides again and solving the resulting quadratic equation, we find that $x = 16$ is the solution that satisfies the original equation.

Solve - x=8+2xx = 8 + 2 \sqrt { x }x=8+2x​

Solve
- $x = 8 + 2 \sqrt { x }$