Solve the equation by using the square root property. $$t ^ { 2 } = - 49$$
A) $\{ 7 \}$
B) $\{ 7 , - 7 \}$
C) $\{ 7 i , - 7 i \}$
D) $\{ 7 i \}$

Question

Quizplus · Accepted Answer

The equation $t^2 = -49$ involves a negative number on the right side, which means the solutions will involve imaginary numbers. Taking the square root of both sides gives $t = \pm \sqrt{-49}$, which simplifies to $t = \pm 7i$, where $i$ is the imaginary unit defined as $\sqrt{-1}$.

Solve the Equation by Using the Square Root Property t2=−49t ^ { 2 } = - 49t2=−49

Solve the Equation by Using the Square Root Property $t ^ { 2 } = - 49$