425x-10000-x^2=0

Solution for 425x-10000-x^2=0 equation:

425x-10000-x^2=0

We add all the numbers together, and all the variables

-1x^2+425x-10000=0

a = -1; b = 425; c = -10000;
Δ = b2-4ac
Δ = 4252-4·(-1)·(-10000)
Δ = 140625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{140625}=375$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(425)-375}{2*-1}=\frac{-800}{-2}
=+400
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(425)+375}{2*-1}=\frac{-50}{-2}
=+25
$