Solve the equation.
-$\sqrt{10+x}=-1-\sqrt{11-5 x}$
A) 0
B) $\frac{11}{2}$
C) 1
D) No solution

Question

Quizplus · Accepted Answer

The equation involves square roots on both sides. Since the square root of any real number is always non-negative, and the right side of the equation involves a negative number (-1) subtracted from a square root, it implies that the right side can never be positive. However, the left side, being a square root, is always non-negative. This discrepancy means there is no real value of $x$ that satisfies the equation, leading to the conclusion that there is no solution.

Solve the Equation 10+x=−1−11−5x\sqrt{10+x}=-1-\sqrt{11-5 x}10+x​=−1−11−5x​ A) 0 B) 112\frac{11}{2}211​ C) 1 D) No Solution

Solve the Equation $\sqrt{10+x}=-1-\sqrt{11-5 x}$ A) 0
B) $\frac{11}{2}$ C) 1
D) No Solution