30x^2=62

Solution for 30x^2=62 equation:

30x^2=62

We move all terms to the left:

30x^2-(62)=0

a = 30; b = 0; c = -62;
Δ = b2-4ac
Δ = 02-4·30·(-62)
Δ = 7440
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{7440}=\sqrt{16*465}=\sqrt{16}*\sqrt{465}=4\sqrt{465}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{465}}{2*30}=\frac{0-4\sqrt{465}}{60}
=-\frac{4\sqrt{465}}{60}
=-\frac{\sqrt{465}}{15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{465}}{2*30}=\frac{0+4\sqrt{465}}{60}
=\frac{4\sqrt{465}}{60}
=\frac{\sqrt{465}}{15}
$