Answer
$x\approx1.48$ and $x\approx-1.48$.
Work Step by Step
$19=30-5x^{2}$
Adding $5x^{2}-19$ to both sides of the equation, we have
$19+5x^{2}-19=30-5x^{2}+5x^{2}-19$
Or $5x^{2}=11$
Dividing both sides by $5$, we get
$x^{2}=\frac{11}{5}$
Taking square root on both sides, we obtain
$x=\pm\sqrt {\frac{11}{5}}\approx\pm 1.48$.
The solutions of the given equation are $x\approx1.48$ and $x\approx-1.48$.
