11x2+88x-63360=0

Solution for 11x2+88x-63360=0 equation:

11x^2+88x-63360=0

a = 11; b = 88; c = -63360;
Δ = b2-4ac
Δ = 882-4·11·(-63360)
Δ = 2795584
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2795584}=1672$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(88)-1672}{2*11}=\frac{-1760}{22}
=-80
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(88)+1672}{2*11}=\frac{1584}{22}
=72
$