x2-x-1001000=0

Solution for x2-x-1001000=0 equation:

x2-x-1001000=0

We add all the numbers together, and all the variables

x^2-1x-1001000=0

a = 1; b = -1; c = -1001000;
Δ = b2-4ac
Δ = -12-4·1·(-1001000)
Δ = 4004001
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4004001}=2001$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-2001}{2*1}=\frac{-2000}{2}
=-1000
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+2001}{2*1}=\frac{2002}{2}
=1001
$