Solve the Radical Equation, and Check All Proposed Solutions $$\sqrt { x + 6 } + \sqrt { 2 - x } = 4$$

Multiple Choice

Solve the radical equation, and check all proposed solutions.
- $$\sqrt { x + 6 } + \sqrt { 2 - x } = 4$$

A) $\{ \sqrt { 31 } , - 2 \}$
B) $\{ 2 , - 2 \}$
C) $\{ - 2 \}$
D) $\{ 0 \}$