x2=22932

Solution for x2=22932 equation:

x2=22932

We move all terms to the left:

x2-(22932)=0

We add all the numbers together, and all the variables

x^2-22932=0

a = 1; b = 0; c = -22932;
Δ = b2-4ac
Δ = 02-4·1·(-22932)
Δ = 91728
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:

$\sqrt{\Delta}=\sqrt{91728}=\sqrt{7056*13}=\sqrt{7056}*\sqrt{13}=84\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84\sqrt{13}}{2*1}=\frac{0-84\sqrt{13}}{2}
=-\frac{84\sqrt{13}}{2}
=-42\sqrt{13}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84\sqrt{13}}{2*1}=\frac{0+84\sqrt{13}}{2}
=\frac{84\sqrt{13}}{2}
=42\sqrt{13}
$