250x-x^2/100=0

Solution for 250x-x^2/100=0 equation:

250x-x^2/100=0

We multiply all the terms by the denominator


-x^2+250x*100=0

We add all the numbers together, and all the variables

-1x^2+250x*100=0

Wy multiply elements

-1x^2+25000x=0

a = -1; b = 25000; c = 0;
Δ = b2-4ac
Δ = 250002-4·(-1)·0
Δ = 625000000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625000000}=25000$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25000)-25000}{2*-1}=\frac{-50000}{-2}
=+25000
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25000)+25000}{2*-1}=\frac{0}{-2}
=0
$