X2+2x-3599=0

Solution for X2+2x-3599=0 equation:

X2+2X-3599=0

We add all the numbers together, and all the variables

X^2+2X-3599=0

a = 1; b = 2; c = -3599;
Δ = b2-4ac
Δ = 22-4·1·(-3599)
Δ = 14400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{14400}=120$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-120}{2*1}=\frac{-122}{2}
=-61
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+120}{2*1}=\frac{118}{2}
=59
$