X^2+x^-1-110=0

Solution for X^2+x^-1-110=0 equation:

X^2+X^-1-110=0

We add all the numbers together, and all the variables

X^2+X-111=0

a = 1; b = 1; c = -111;
Δ = b2-4ac
Δ = 12-4·1·(-111)
Δ = 445
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{445}}{2*1}=\frac{-1-\sqrt{445}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{445}}{2*1}=\frac{-1+\sqrt{445}}{2}
$