Solve.
-$$\sqrt { \mathrm { x } } - 2 = \sqrt { \mathrm { x } + 32 }$$
A) $x = - 49$
B) $x = - 7$
C) $x = 49$
D) $\varnothing$

Question

Quizplus · Accepted Answer

Squaring both sides of the equation to eliminate the square root gives us $x - 4\sqrt{x} + 4 = x + 32$. Simplifying this equation, we see that all terms involving $x$ cancel out, leaving no solution that satisfies the original equation. Thus, the correct answer is $\varnothing$, indicating that there is no real number solution.

Solve - x−2=x+32\sqrt { \mathrm { x } } - 2 = \sqrt { \mathrm { x } + 32 }x​−2=x+32​

Solve
- $\sqrt { \mathrm { x } } - 2 = \sqrt { \mathrm { x } + 32 }$