155x-x^2-3250=0

Solution for 155x-x^2-3250=0 equation:

155x-x^2-3250=0

We add all the numbers together, and all the variables

-1x^2+155x-3250=0

a = -1; b = 155; c = -3250;
Δ = b2-4ac
Δ = 1552-4·(-1)·(-3250)
Δ = 11025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11025}=105$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(155)-105}{2*-1}=\frac{-260}{-2}
=+130
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(155)+105}{2*-1}=\frac{-50}{-2}
=+25
$