x2-250x-1200=0

Solution for x2-250x-1200=0 equation:

x2-250x-1200=0

We add all the numbers together, and all the variables

x^2-250x-1200=0

a = 1; b = -250; c = -1200;
Δ = b2-4ac
Δ = -2502-4·1·(-1200)
Δ = 67300
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:

$\sqrt{\Delta}=\sqrt{67300}=\sqrt{100*673}=\sqrt{100}*\sqrt{673}=10\sqrt{673}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-250)-10\sqrt{673}}{2*1}=\frac{250-10\sqrt{673}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-250)+10\sqrt{673}}{2*1}=\frac{250+10\sqrt{673}}{2}
$