288=x^2

Solution for 288=x^2 equation:

288=x^2

We move all terms to the left:

288-(x^2)=0

We add all the numbers together, and all the variables

-1x^2+288=0

a = -1; b = 0; c = +288;
Δ = b2-4ac
Δ = 02-4·(-1)·288
Δ = 1152
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:

$\sqrt{\Delta}=\sqrt{1152}=\sqrt{576*2}=\sqrt{576}*\sqrt{2}=24\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{2}}{2*-1}=\frac{0-24\sqrt{2}}{-2}
=-\frac{24\sqrt{2}}{-2}
=-\frac{12\sqrt{2}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{2}}{2*-1}=\frac{0+24\sqrt{2}}{-2}
=\frac{24\sqrt{2}}{-2}
=\frac{12\sqrt{2}}{-1}
$