Find the exact solutions to the quadratic equation in the complex numbers.
-$$x ^ { 2 } + 225 = 0$$
A) $15 \mathrm { i }$
B) $\pm 15 \mathrm { i }$
C) $- 112.5 \mathrm { i }$
D) $\pm 15$

Question

Quizplus · Accepted Answer

To solve the quadratic equation $x^2 + 225 = 0$, we can rewrite it as $x^2 = -225$. Taking the square root of both sides gives $x = \pm \sqrt{-225}$. Since the square root of a negative number involves the imaginary unit $i$, where $i^2 = -1$, we get $x = \pm 15i$.

Find the Exact Solutions to the Quadratic Equation in the Complex