X^2-10x-9000=0

Solution for X^2-10x-9000=0 equation:

X^2-10X-9000=0

a = 1; b = -10; c = -9000;
Δ = b2-4ac
Δ = -102-4·1·(-9000)
Δ = 36100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36100}=190$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-190}{2*1}=\frac{-180}{2}
=-90
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+190}{2*1}=\frac{200}{2}
=100
$