Decide What Values of the Variable Cannot Possibly Be Solutions $$( 10 + x ) ^ { 1 / 2 + ( 11 - 5 x ) ^ { 1 / 2 } = - 1 }$$

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$( 10 + x ) ^ { 1 / 2 + ( 11 - 5 x ) ^ { 1 / 2 } = - 1 }$$

A) $\left\{ - 1 , \frac { 10 } { 9 } \right\}$
B) $\varnothing$
C) $\{ 0 \}$
D) $\{ 1 \}$