x^2-100x-880=0

Solution for x^2-100x-880=0 equation:

x^2-100x-880=0

a = 1; b = -100; c = -880;
Δ = b2-4ac
Δ = -1002-4·1·(-880)
Δ = 13520
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:

$\sqrt{\Delta}=\sqrt{13520}=\sqrt{2704*5}=\sqrt{2704}*\sqrt{5}=52\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-52\sqrt{5}}{2*1}=\frac{100-52\sqrt{5}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+52\sqrt{5}}{2*1}=\frac{100+52\sqrt{5}}{2}
$