Solve the equation by the square root property.
-$( x - 7 ) ^ { 2 } = 11$
A) $\{ 7 + \sqrt { 11 } \}$
B) $\{ \sqrt { 11 } - \sqrt { - 7 } \}$
C) $\{ 7 \pm \sqrt { 11 } \}$
D) $\{ \sqrt { 11 } - 7 , - \sqrt { 11 - 7 } \}$

Question

Quizplus · Accepted Answer

To solve the equation $(x - 7)^2 = 11$ using the square root property, take the square root of both sides to get $x - 7 = \pm\sqrt{11}$. Then, add 7 to both sides to isolate x, resulting in $x = 7 \pm \sqrt{11}$.

Solve the Equation by the Square Root Property (x−7)2=11( x - 7 ) ^ { 2 } = 11(x−7)2=11

Solve the Equation by the Square Root Property $( x - 7 ) ^ { 2 } = 11$