36x^2=720

Solution for 36x^2=720 equation:

36x^2=720

We move all terms to the left:

36x^2-(720)=0

a = 36; b = 0; c = -720;
Δ = b2-4ac
Δ = 02-4·36·(-720)
Δ = 103680
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:

$\sqrt{\Delta}=\sqrt{103680}=\sqrt{20736*5}=\sqrt{20736}*\sqrt{5}=144\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144\sqrt{5}}{2*36}=\frac{0-144\sqrt{5}}{72}
=-\frac{144\sqrt{5}}{72}
=-2\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144\sqrt{5}}{2*36}=\frac{0+144\sqrt{5}}{72}
=\frac{144\sqrt{5}}{72}
=2\sqrt{5}
$