x-x^2+110=0

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

x-x^2+110=0

We add all the numbers together, and all the variables

-1x^2+x+110=0

a = -1; b = 1; c = +110;
Δ = b2-4ac
Δ = 12-4·(-1)·110
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-21}{2*-1}=\frac{-22}{-2}
=+11
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+21}{2*-1}=\frac{20}{-2}
=-10
$