Answer
$x=0.89$ and $x=-0.89$
Work Step by Step
The given equation is
$\Rightarrow 5x^2+2=6$
Subtract $2$ from each side.
$\Rightarrow 5x^2+2-2=6-2$
Simplify.
$\Rightarrow 5x^2=4$
Divide each side by $5$.
$\Rightarrow \frac{5x^2}{5}=\frac{4}{5}$
Simplify.
$\Rightarrow x^2=\frac{4}{5}$
Take the square root of each side.
$\Rightarrow x=\pm \sqrt {\frac{4}{5}}$
Use a calculator.
$\Rightarrow x=\pm 0.89$
Hence, the solutions are $x=0.89$ and $x=-0.89$.
