x2=81144

Solution for x2=81144 equation:

x2=81144

We move all terms to the left:

x2-(81144)=0

We add all the numbers together, and all the variables

x^2-81144=0

a = 1; b = 0; c = -81144;
Δ = b2-4ac
Δ = 02-4·1·(-81144)
Δ = 324576
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:

$\sqrt{\Delta}=\sqrt{324576}=\sqrt{7056*46}=\sqrt{7056}*\sqrt{46}=84\sqrt{46}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-84\sqrt{46}}{2*1}=\frac{0-84\sqrt{46}}{2}
=-\frac{84\sqrt{46}}{2}
=-42\sqrt{46}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+84\sqrt{46}}{2*1}=\frac{0+84\sqrt{46}}{2}
=\frac{84\sqrt{46}}{2}
=42\sqrt{46}
$