x^2-x-16002=0

Solution for x^2-x-16002=0 equation:

x^2-x-16002=0

We add all the numbers together, and all the variables

x^2-1x-16002=0

a = 1; b = -1; c = -16002;
Δ = b2-4ac
Δ = -12-4·1·(-16002)
Δ = 64009
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64009}=253$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-253}{2*1}=\frac{-252}{2}
=-126
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+253}{2*1}=\frac{254}{2}
=127
$