x^2-100x-140000=0

Solution for x^2-100x-140000=0 equation:

x^2-100x-140000=0

a = 1; b = -100; c = -140000;
Δ = b2-4ac
Δ = -1002-4·1·(-140000)
Δ = 570000
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:

$\sqrt{\Delta}=\sqrt{570000}=\sqrt{10000*57}=\sqrt{10000}*\sqrt{57}=100\sqrt{57}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-100\sqrt{57}}{2*1}=\frac{100-100\sqrt{57}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+100\sqrt{57}}{2*1}=\frac{100+100\sqrt{57}}{2}
$