Answer
$x=+3.37$ and $x=-3.37$
Work Step by Step
The given equation is
$\Rightarrow 3x^2-30=4$
Add $30$ to each side.
$\Rightarrow 3x^2-30+30=4+30$
Simplify.
$\Rightarrow 3x^2=34$
Divide each side by $3$.
$\Rightarrow x^2=\frac{34}{3}$
Take the square root of each side.
$\Rightarrow x=\pm\sqrt{\frac{34}{3}}$
Use a calculator.
$\Rightarrow x=\pm3.37$
Two real solutions are
$\Rightarrow x=+3.37$ or $x=-3.37$
Hence, the solutions are $x=+3.37$ and $x=-3.37$.
