x2+275x-1116=0

Solution for x2+275x-1116=0 equation:

x2+275x-1116=0

We add all the numbers together, and all the variables

x^2+275x-1116=0

a = 1; b = 275; c = -1116;
Δ = b2-4ac
Δ = 2752-4·1·(-1116)
Δ = 80089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{80089}=283$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(275)-283}{2*1}=\frac{-558}{2}
=-279
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(275)+283}{2*1}=\frac{8}{2}
=4
$