Solve the equation by the square root property.
-$$x ^ { 2 } = - 225$$
A) $\{ 112.5 \}$
B) $\{ 15 \}$
C) $\{ \pm 15 i \}$
D) $\{ \pm 15 \}$

Question

Quizplus · Accepted Answer

The equation $x^2 = -225$ involves a negative number on the right side, which means the solution will involve imaginary numbers. Taking the square root of both sides gives $x = \pm \sqrt{-225}$. Since $\sqrt{-1} = i$, this simplifies to $x = \pm 15i$.

Solve the Equation by the Square Root Property x2=−225x ^ { 2 } = - 225x2=−225

Solve the Equation by the Square Root Property $x ^ { 2 } = - 225$