2x^2-110x-4000=0

Solution for 2x^2-110x-4000=0 equation:

2x^2-110x-4000=0

a = 2; b = -110; c = -4000;
Δ = b2-4ac
Δ = -1102-4·2·(-4000)
Δ = 44100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{44100}=210$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-110)-210}{2*2}=\frac{-100}{4}
=-25
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-110)+210}{2*2}=\frac{320}{4}
=80
$