X^2-10002x=20000=0

Solution for X^2-10002x=20000=0 equation:

X^2-10002X=20000=0

We move all terms to the left:

X^2-10002X-(20000)=0

a = 1; b = -10002; c = -20000;
Δ = b2-4ac
Δ = -100022-4·1·(-20000)
Δ = 100120004
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:

$\sqrt{\Delta}=\sqrt{100120004}=\sqrt{1156*86609}=\sqrt{1156}*\sqrt{86609}=34\sqrt{86609}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10002)-34\sqrt{86609}}{2*1}=\frac{10002-34\sqrt{86609}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10002)+34\sqrt{86609}}{2*1}=\frac{10002+34\sqrt{86609}}{2}
$