Find the exact solutions to the quadratic equation in the complex numbers.
-$$( x - 9 ) ^ { 2 } = - 16$$
A) $4 \mathrm { i } \pm 9$
B) $9 \pm 8 \mathrm { i }$
C) $9 \pm 4 \mathrm { i }$
D) $- 9 \pm 4 i$

Question

Quizplus · Accepted Answer

To solve the equation $(x - 9)^2 = -16$, take the square root of both sides to get $x - 9 = \pm 4i$. Then, add 9 to both sides to isolate $x$, resulting in $x = 9 \pm 4i$.

Find the Exact Solutions to the Quadratic Equation in the Complex