Solve.
-$$\sqrt { x ^ { 2 } - 11 } + 5 = 0$$
A) $\{ 6 \}$
B) $\{ 7 , - 7 \}$
C) $\{ 6 , - 6 \}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

To solve the equation $\sqrt { x ^ { 2 } - 11 } + 5 = 0$, we first isolate the square root by subtracting 5 from both sides, giving $\sqrt { x ^ { 2 } - 11 } = -5$. Since the square root of a real number cannot be negative, there are no real solutions to this equation. Therefore, the correct answer is the empty set, $\varnothing$.

Solve - x2−11+5=0\sqrt { x ^ { 2 } - 11 } + 5 = 0x2−11​+5=0

Solve
- $\sqrt { x ^ { 2 } - 11 } + 5 = 0$