X^2+x=55

Solution for X^2+x=55 equation:

X^2+X=55

We move all terms to the left:

X^2+X-(55)=0

a = 1; b = 1; c = -55;
Δ = b2-4ac
Δ = 12-4·1·(-55)
Δ = 221
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{221}}{2*1}=\frac{-1-\sqrt{221}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{221}}{2*1}=\frac{-1+\sqrt{221}}{2}
$