385x-12250-x^2=0

Solution for 385x-12250-x^2=0 equation:

385x-12250-x^2=0

We add all the numbers together, and all the variables

-1x^2+385x-12250=0

a = -1; b = 385; c = -12250;
Δ = b2-4ac
Δ = 3852-4·(-1)·(-12250)
Δ = 99225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{99225}=315$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(385)-315}{2*-1}=\frac{-700}{-2}
=+350
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(385)+315}{2*-1}=\frac{-70}{-2}
=+35
$