X^2-10000x-60000=0

Solution for X^2-10000x-60000=0 equation:

X^2-10000X-60000=0

a = 1; b = -10000; c = -60000;
Δ = b2-4ac
Δ = -100002-4·1·(-60000)
Δ = 100240000
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:

$\sqrt{\Delta}=\sqrt{100240000}=\sqrt{40000*2506}=\sqrt{40000}*\sqrt{2506}=200\sqrt{2506}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10000)-200\sqrt{2506}}{2*1}=\frac{10000-200\sqrt{2506}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10000)+200\sqrt{2506}}{2*1}=\frac{10000+200\sqrt{2506}}{2}
$