X2-50x-2450=0

Solution for X2-50x-2450=0 equation:

X2-50X-2450=0

We add all the numbers together, and all the variables

X^2-50X-2450=0

a = 1; b = -50; c = -2450;
Δ = b2-4ac
Δ = -502-4·1·(-2450)
Δ = 12300
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{12300}=\sqrt{100*123}=\sqrt{100}*\sqrt{123}=10\sqrt{123}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-10\sqrt{123}}{2*1}=\frac{50-10\sqrt{123}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+10\sqrt{123}}{2*1}=\frac{50+10\sqrt{123}}{2}
$