Solve the equation.
-$\sqrt{x+6}+\sqrt{2-x}=4$
A) $\{0\}$
B) $\{2,-2\}$
C) $\{-2\}$
D) $\{\sqrt{31},-2\}$

Name: Solve the equation. -$\sqrt{x+6}+\sqrt{2-x}=4$ A) $\{0\}$ B) $\{2,-2\}$ C) $\{-2\}$ D) $\{\sqrt{31},-2\}$
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Question

Quizplus · Accepted Answer

To solve $\sqrt{x+6}+\sqrt{2-x}=4$, we test the given options. For $x = -2$, $\sqrt{-2+6} + \sqrt{2-(-2)} = \sqrt{4} + \sqrt{4} = 2 + 2 = 4$, which satisfies the equation. For other options, the equation does not hold.

Solve the Equation x+6+2−x=4\sqrt{x+6}+\sqrt{2-x}=4x+6​+2−x​=4 A) {0}\{0\}{0} B) {2,−2}\{2,-2\}{2,−2} C) {−2}\{-2\}{−2} D) {31,−2}\{\sqrt{31},-2\}{31​,−2}

Solve the Equation $\sqrt{x+6}+\sqrt{2-x}=4$ A) $\{0\}$ B) $\{2,-2\}$ C) $\{-2\}$ D) $\{\sqrt{31},-2\}$