Solve the equation.
-$$( x + 6 ) ^ { 2 } = 10$$
A) $\{ 4 \}$
B) $\{ 6 - \sqrt { 10 } , 6 + \sqrt { 10 } \}$
C) $\{ - \sqrt { 10 } , \sqrt { 10 } \}$
D) $\{ - 6 - \sqrt { 10 } , - 6 + \sqrt { 10 } \}$

Question

Quizplus · Accepted Answer

To solve $(x + 6)^2 = 10$, take the square root of both sides to get $x + 6 = \pm \sqrt{10}$. Solving for $x$, we get $x = -6 \pm \sqrt{10}$, which corresponds to choice D.

Solve the Equation (x+6)2=10( x + 6 ) ^ { 2 } = 10(x+6)2=10

Solve the Equation $( x + 6 ) ^ { 2 } = 10$