X^2+x=17780

Solution for X^2+x=17780 equation:

X^2+X=17780

We move all terms to the left:

X^2+X-(17780)=0

a = 1; b = 1; c = -17780;
Δ = b2-4ac
Δ = 12-4·1·(-17780)
Δ = 71121
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{71121}}{2*1}=\frac{-1-\sqrt{71121}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{71121}}{2*1}=\frac{-1+\sqrt{71121}}{2}
$