10000=x^2

Solution for 10000=x^2 equation:

10000=x^2

We move all terms to the left:

10000-(x^2)=0

We add all the numbers together, and all the variables

-1x^2+10000=0

a = -1; b = 0; c = +10000;
Δ = b2-4ac
Δ = 02-4·(-1)·10000
Δ = 40000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{40000}=200$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200}{2*-1}=\frac{-200}{-2}
=+100
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200}{2*-1}=\frac{200}{-2}
=-100
$