x2=5324

Solution for x2=5324 equation:

x2=5324

We move all terms to the left:

x2-(5324)=0

We add all the numbers together, and all the variables

x^2-5324=0

a = 1; b = 0; c = -5324;
Δ = b2-4ac
Δ = 02-4·1·(-5324)
Δ = 21296
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:

$\sqrt{\Delta}=\sqrt{21296}=\sqrt{1936*11}=\sqrt{1936}*\sqrt{11}=44\sqrt{11}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-44\sqrt{11}}{2*1}=\frac{0-44\sqrt{11}}{2}
=-\frac{44\sqrt{11}}{2}
=-22\sqrt{11}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+44\sqrt{11}}{2*1}=\frac{0+44\sqrt{11}}{2}
=\frac{44\sqrt{11}}{2}
=22\sqrt{11}
$