8x^2-100x-100=0

Solution for 8x^2-100x-100=0 equation:

8x^2-100x-100=0

a = 8; b = -100; c = -100;
Δ = b2-4ac
Δ = -1002-4·8·(-100)
Δ = 13200
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:

$\sqrt{\Delta}=\sqrt{13200}=\sqrt{400*33}=\sqrt{400}*\sqrt{33}=20\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-20\sqrt{33}}{2*8}=\frac{100-20\sqrt{33}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+20\sqrt{33}}{2*8}=\frac{100+20\sqrt{33}}{16}
$