x*x=2592

Solution for x*x=2592 equation:

x*x=2592

We move all terms to the left:

x*x-(2592)=0

Wy multiply elements

x^2-2592=0

a = 1; b = 0; c = -2592;
Δ = b2-4ac
Δ = 02-4·1·(-2592)
Δ = 10368
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:

$\sqrt{\Delta}=\sqrt{10368}=\sqrt{5184*2}=\sqrt{5184}*\sqrt{2}=72\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{2}}{2*1}=\frac{0-72\sqrt{2}}{2}
=-\frac{72\sqrt{2}}{2}
=-36\sqrt{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{2}}{2*1}=\frac{0+72\sqrt{2}}{2}
=\frac{72\sqrt{2}}{2}
=36\sqrt{2}
$