Answer
$x=+0.63$ and $x=-0.63$
Work Step by Step
The given equation is
$\Rightarrow 5x^2-2=0$
Add $2$ to each side.
$\Rightarrow 5x^2-2+2=0+2$
Simplify.
$\Rightarrow 5x^2=2$
Divide each side by $5$.
$\Rightarrow x^2=\frac{2}{5}$
Take the square root of each side.
$\Rightarrow x=\pm\sqrt{\frac{2}{5}}$
Use a calculator.
$\Rightarrow x=\pm0.63$
Two real solutions are
$\Rightarrow x=+0.63$ or $x=-0.63$
Hence, the solutions are $x=+0.63$ and $x=-0.63$.
