x^2-100x-328=0

Solution for x^2-100x-328=0 equation:

x^2-100x-328=0

a = 1; b = -100; c = -328;
Δ = b2-4ac
Δ = -1002-4·1·(-328)
Δ = 11312
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:

$\sqrt{\Delta}=\sqrt{11312}=\sqrt{16*707}=\sqrt{16}*\sqrt{707}=4\sqrt{707}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-4\sqrt{707}}{2*1}=\frac{100-4\sqrt{707}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+4\sqrt{707}}{2*1}=\frac{100+4\sqrt{707}}{2}
$