Rewrite the Expressions with Rational Exponents as Radical Expressions, and Then

Multiple Choice

Rewrite the expressions with rational exponents as radical expressions, and then solve the equation.
- $(10+x) ^{1 / 2}+(11-5 x) ^{1 / 2}=-1$

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