X^2+2x=3720

Solution for X^2+2x=3720 equation:

X^2+2X=3720

We move all terms to the left:

X^2+2X-(3720)=0

a = 1; b = 2; c = -3720;
Δ = b2-4ac
Δ = 22-4·1·(-3720)
Δ = 14884
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14884}=122$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-122}{2*1}=\frac{-124}{2}
=-62
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+122}{2*1}=\frac{120}{2}
=60
$