Use the square root property to solve the equation.
-$x ^ { 2 } = 112$
A) 56
B) 14
C) $- 4 \sqrt { 7 } , 4 \sqrt { 7 }$
D) $4 \sqrt { 7 }$

Question

Quizplus · Accepted Answer

The square root property states that if $x^2 = a$, then $x = \sqrt{a}$ or $x = -\sqrt{a}$. For $x^2 = 112$, $x = \sqrt{112}$ or $x = -\sqrt{112}$. Simplifying $\sqrt{112}$ gives $4\sqrt{7}$, so the solutions are $4\sqrt{7}$ and $-4\sqrt{7}$.

Use the Square Root Property to Solve the Equation x2=112x ^ { 2 } = 112x2=112

Use the Square Root Property to Solve the Equation $x ^ { 2 } = 112$