x^2-50x-12600=0

Solution for x^2-50x-12600=0 equation:

x^2-50x-12600=0

a = 1; b = -50; c = -12600;
Δ = b2-4ac
Δ = -502-4·1·(-12600)
Δ = 52900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{52900}=230$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-230}{2*1}=\frac{-180}{2}
=-90
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+230}{2*1}=\frac{280}{2}
=140
$