x^2-x*2500+1000000=0

Solution for x^2-x*2500+1000000=0 equation:

x^2-x*2500+1000000=0

Wy multiply elements

x^2-2500x+1000000=0

a = 1; b = -2500; c = +1000000;
Δ = b2-4ac
Δ = -25002-4·1·1000000
Δ = 2250000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2250000}=1500$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2500)-1500}{2*1}=\frac{1000}{2}
=500
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2500)+1500}{2*1}=\frac{4000}{2}
=2000
$