Solve the equation.
-$5 - \sqrt { x + 10 } = \sqrt { 7 - x }$
A) $\{ 6 , - 9 \}$
B) $\{ 12 , - 18 \}$
C) $\{ 6 , - 18 \}$
D) $\{ 12 , - 9 \}$

Question

Quizplus · Accepted Answer

To solve the equation $5 - \sqrt{x + 10} = \sqrt{7 - x}$, we can square both sides to eliminate the square roots, leading to a quadratic equation. Solving this quadratic equation yields the solutions $x = 6$ and $x = -9$, which matches option A.

Solve the Equation 5−x+10=7−x5 - \sqrt { x + 10 } = \sqrt { 7 - x }5−x+10​=7−x​

Solve the Equation $5 - \sqrt { x + 10 } = \sqrt { 7 - x }$