X2+110x+216=0

Solution for X2+110x+216=0 equation:

X2+110X+216=0

We add all the numbers together, and all the variables

X^2+110X+216=0

a = 1; b = 110; c = +216;
Δ = b2-4ac
Δ = 1102-4·1·216
Δ = 11236
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11236}=106$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(110)-106}{2*1}=\frac{-216}{2}
=-108
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(110)+106}{2*1}=\frac{-4}{2}
=-2
$