X^2+x=89

Solution for X^2+x=89 equation:

X^2+X=89

We move all terms to the left:

X^2+X-(89)=0

a = 1; b = 1; c = -89;
Δ = b2-4ac
Δ = 12-4·1·(-89)
Δ = 357
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{357}}{2*1}=\frac{-1-\sqrt{357}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{357}}{2*1}=\frac{-1+\sqrt{357}}{2}
$