Solve the equation by the square root property.
-$$( x - 10 ) ^ { 2 } = - 49$$
A) $\{ 10 \pm 7 \mathrm { i } \}$
B) $\left\{ \pm \frac { 7 \mathrm { i } } { 10 } \right\}$
C) $\{ - 10 \pm 7 \mathrm { i } \}$
D) $\{ 10 \mathrm { i } \pm 7 \}$

Question

Quizplus · Accepted Answer

The equation $(x - 10)^2 = -49$ implies $x - 10 = \pm \sqrt{-49}$. Since $\sqrt{-49} = 7i$, solving for $x$ gives $x = 10 \pm 7i$.

Solve the Equation by the Square Root Property (x−10)2=−49( x - 10 ) ^ { 2 } = - 49(x−10)2=−49

Solve the Equation by the Square Root Property $( x - 10 ) ^ { 2 } = - 49$