Solve the equation by the square root property.
-$$x ^ { 2 } = 20$$
A) $\{ 400 \}$
B) $\{ \pm 2 \sqrt { 5 } \}$
C) $\{ 10 \}$
D) $\{ \sqrt { 20 } \}$

Question

Quizplus · Accepted Answer

To solve the equation $x^2 = 20$ using the square root property, you take the square root of both sides of the equation. The square root of $x^2$ is $x$, and the square root of 20 is $\sqrt{20}$, which simplifies to $\pm \sqrt{4 \cdot 5} = \pm 2\sqrt{5}$. This gives two solutions, $x = 2\sqrt{5}$ and $x = -2\sqrt{5}$, hence the correct answer is $\{ \pm 2 \sqrt { 5 } \}$.

Solve the Equation by the Square Root Property x2=20x ^ { 2 } = 20x2=20

Solve the Equation by the Square Root Property $x ^ { 2 } = 20$