2x^2-100x-10000=0

Solution for 2x^2-100x-10000=0 equation:

2x^2-100x-10000=0

a = 2; b = -100; c = -10000;
Δ = b2-4ac
Δ = -1002-4·2·(-10000)
Δ = 90000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{90000}=300$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-100)-300}{2*2}=\frac{-200}{4}
=-50
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-100)+300}{2*2}=\frac{400}{4}
=100
$