Solve the equation by the square root property.
-$$x ^ { 2 } = - 81$$
A) $\{ \pm 9 \}$
B) $\{ 40.5 \}$
C) $\{ \pm 9 i \}$
D) $\{ 9 \}$

Name: Solve the equation by the square root property. -\[x ^ { 2 } = - 81\] A) $\{ \pm 9 \}$ B) $\{ 40.5 \}$ C) $\{ \pm 9 i \}$ D) $\{ 9 \}$
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Question

Quizplus · Accepted Answer

The equation $x^2 = -81$ suggests the use of complex numbers since the square root of a negative number involves $i$, where $i^2 = -1$. Therefore, $x = \pm \sqrt{-81} = \pm 9i$.

Solve the Equation by the Square Root Property x2=−81x ^ { 2 } = - 81x2=−81

Solve the Equation by the Square Root Property $x ^ { 2 } = - 81$