Decide What Values of the Variable Cannot Possibly Be Solutions $$( 3 x + 1 ) ^ { 1 / 2 } = 3 + ( x - 4 ) ^ { 1 / 2 }$$

Multiple Choice

Decide what values of the variable cannot possibly be solutions for the equation.
- $$( 3 x + 1 ) ^ { 1 / 2 } = 3 + ( x - 4 ) ^ { 1 / 2 }$$

A) $\{ 5,8 \}$
B) $\varnothing$
C) $\{ - 1 \}$
D) $\{ - 5 , - 8 \}$