x^2+88x-110=0

Solution for x^2+88x-110=0 equation:

x^2+88x-110=0

a = 1; b = 88; c = -110;
Δ = b2-4ac
Δ = 882-4·1·(-110)
Δ = 8184
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:

$\sqrt{\Delta}=\sqrt{8184}=\sqrt{4*2046}=\sqrt{4}*\sqrt{2046}=2\sqrt{2046}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(88)-2\sqrt{2046}}{2*1}=\frac{-88-2\sqrt{2046}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(88)+2\sqrt{2046}}{2*1}=\frac{-88+2\sqrt{2046}}{2}
$