x^2+2x-646=0

Solution for x^2+2x-646=0 equation:

x^2+2x-646=0

a = 1; b = 2; c = -646;
Δ = b2-4ac
Δ = 22-4·1·(-646)
Δ = 2588
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{2588}=\sqrt{4*647}=\sqrt{4}*\sqrt{647}=2\sqrt{647}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{647}}{2*1}=\frac{-2-2\sqrt{647}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{647}}{2*1}=\frac{-2+2\sqrt{647}}{2}
$