Answer
$x=1.32$ and $x=-1.32$
Work Step by Step
The given equation is
$\Rightarrow 2=4x^2-5$
Add $5$ to each side.
$\Rightarrow 2+5=4x^2-5+5$
Simplify.
$\Rightarrow 7=4x^2$
Divide each side by $4$.
$\Rightarrow \frac{7}{4}=\frac{4x^2}{4}$
Simplify.
$\Rightarrow \frac{7}{4}=x^2$
Take the square root of each side.
$\Rightarrow \pm \sqrt {\frac{7}{4}}=x$
Use a calculator.
$\Rightarrow \pm 1.32=x$
Hence, the solutions are $x=1.32$ and $x=-1.32$.
