X^2+110x-18000=0

Solution for X^2+110x-18000=0 equation:

X^2+110X-18000=0

a = 1; b = 110; c = -18000;
Δ = b2-4ac
Δ = 1102-4·1·(-18000)
Δ = 84100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{84100}=290$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(110)-290}{2*1}=\frac{-400}{2}
=-200
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(110)+290}{2*1}=\frac{180}{2}
=90
$