-x^2+350x-15000=0

Solution for -x^2+350x-15000=0 equation:

-x^2+350x-15000=0

We add all the numbers together, and all the variables

-1x^2+350x-15000=0

a = -1; b = 350; c = -15000;
Δ = b2-4ac
Δ = 3502-4·(-1)·(-15000)
Δ = 62500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{62500}=250$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(350)-250}{2*-1}=\frac{-600}{-2}
=+300
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(350)+250}{2*-1}=\frac{-100}{-2}
=+50
$