Solve. Check for extraneous solutions.
-$\sqrt{3 \mathrm{x}-2}+\sqrt{11+\mathrm{x}}=-1$
A) $\{5\}$
B) $\left\{-\frac{5}{2}\right\}$
C) $\{0\}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The equation involves square roots and is set equal to a negative number, which is not possible since the square root of any real number is non-negative. Therefore, there are no real solutions to this equation.

Solve Check for Extraneous Solutions 3x−2+11+x=−1\sqrt{3 \mathrm{x}-2}+\sqrt{11+\mathrm{x}}=-13x−2​+11+x​=−1 A) {5}\{5\}{5} B) {−52}\left\{-\frac{5}{2}\right\}{−25​} C) {0}\{0\}{0} D) ∅\varnothing∅

Solve Check for Extraneous Solutions $\sqrt{3 \mathrm{x}-2}+\sqrt{11+\mathrm{x}}=-1$ A) $\{5\}$ B) $\left\{-\frac{5}{2}\right\}$ C) $\{0\}$ D) $\varnothing$