811=x2

Solution for 811=x2 equation:

811=x2

We move all terms to the left:

811-(x2)=0

We add all the numbers together, and all the variables

-1x^2+811=0

a = -1; b = 0; c = +811;
Δ = b2-4ac
Δ = 02-4·(-1)·811
Δ = 3244
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:

$\sqrt{\Delta}=\sqrt{3244}=\sqrt{4*811}=\sqrt{4}*\sqrt{811}=2\sqrt{811}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{811}}{2*-1}=\frac{0-2\sqrt{811}}{-2}
=-\frac{2\sqrt{811}}{-2}
=-\frac{\sqrt{811}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{811}}{2*-1}=\frac{0+2\sqrt{811}}{-2}
=\frac{2\sqrt{811}}{-2}
=\frac{\sqrt{811}}{-1}
$