X^2-20x-12000=0

Solution for X^2-20x-12000=0 equation:

X^2-20X-12000=0

a = 1; b = -20; c = -12000;
Δ = b2-4ac
Δ = -202-4·1·(-12000)
Δ = 48400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{48400}=220$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-220}{2*1}=\frac{-200}{2}
=-100
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+220}{2*1}=\frac{240}{2}
=120
$