4x^2-8x-10000=0

Solution for 4x^2-8x-10000=0 equation:

4x^2-8x-10000=0

a = 4; b = -8; c = -10000;
Δ = b2-4ac
Δ = -82-4·4·(-10000)
Δ = 160064
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:

$\sqrt{\Delta}=\sqrt{160064}=\sqrt{64*2501}=\sqrt{64}*\sqrt{2501}=8\sqrt{2501}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-8)-8\sqrt{2501}}{2*4}=\frac{8-8\sqrt{2501}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+8\sqrt{2501}}{2*4}=\frac{8+8\sqrt{2501}}{8}
$