264=13x^2

Solution for 264=13x^2 equation:

264=13x^2

We move all terms to the left:

264-(13x^2)=0

a = -13; b = 0; c = +264;
Δ = b2-4ac
Δ = 02-4·(-13)·264
Δ = 13728
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:

$\sqrt{\Delta}=\sqrt{13728}=\sqrt{16*858}=\sqrt{16}*\sqrt{858}=4\sqrt{858}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{858}}{2*-13}=\frac{0-4\sqrt{858}}{-26}
=-\frac{4\sqrt{858}}{-26}
=-\frac{2\sqrt{858}}{-13}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{858}}{2*-13}=\frac{0+4\sqrt{858}}{-26}
=\frac{4\sqrt{858}}{-26}
=\frac{2\sqrt{858}}{-13}
$