Solve the equation by the square root property.
-$$( x - 15 ) ^ { 2 } = 64$$
A) $\{ 23 \}$
B) $\{ - 49 \}$
C) $\{ 7,23 \}$
D) $\{ - 7 , - 23 \}$

Question

Quizplus · Accepted Answer

To solve the equation $(x - 15)^2 = 64$ by the square root property, take the square root of both sides to get $x - 15 = \pm \sqrt{64}$. This gives $x - 15 = \pm 8$. Solving for $x$ gives $x = 15 \pm 8$, which results in $x = 23$ or $x = 7$, making the correct answer $\{7, 23\}$.

Solve the Equation by the Square Root Property (x−15)2=64( x - 15 ) ^ { 2 } = 64(x−15)2=64

Solve the Equation by the Square Root Property $( x - 15 ) ^ { 2 } = 64$