Answer
$x=\{ -\sqrt{5},\sqrt{5} \}$
Work Step by Step
Using the properties of equality, the given equation, $
4x^2-20=0
,$ is equivalent to
\begin{align*}
4x^2&=20
\\\\
\dfrac{4x^2}{4}&=\dfrac{20}{4}
\\\\
x^2&=5
.\end{align*}
Getting the square root of both sides (Square Root Property), the equation above is equivalent to
\begin{align*}
x&=\pm\sqrt{5}
.\end{align*}
Hence, the solutions are $
x=\{ -\sqrt{5},\sqrt{5} \}
$.
