Solve the equation.
-$$( 10 + x ) ^ { 1 / 2 } + ( 11 - 5 x ) ^ { 1 / 2 } = - 1$$
A) $\{ 1 \}$
B) $\{ 0 \}$
C) $\left\{ - 1 , \frac { 10 } { 9 } \right\}$
D) $\varnothing$

Question

Quizplus · Accepted Answer

The equation involves square roots, which cannot be negative. Since the left side of the equation involves adding two square roots, it cannot be negative. Therefore, there are no solutions to this equation.

Solve the Equation (10+x)1/2+(11−5x)1/2=−1( 10 + x ) ^ { 1 / 2 } + ( 11 - 5 x ) ^ { 1 / 2 } = - 1(10+x)1/2+(11−5x)1/2=−1

Solve the Equation $( 10 + x ) ^ { 1 / 2 } + ( 11 - 5 x ) ^ { 1 / 2 } = - 1$