576=256x^2

Solution for 576=256x^2 equation:

576=256x^2

We move all terms to the left:

576-(256x^2)=0

a = -256; b = 0; c = +576;
Δ = b2-4ac
Δ = 02-4·(-256)·576
Δ = 589824
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{589824}=768$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-768}{2*-256}=\frac{-768}{-512}
=1+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+768}{2*-256}=\frac{768}{-512}
=-1+1/2
$