x2+2x-2188=0

Solution for x2+2x-2188=0 equation:

x2+2x-2188=0

We add all the numbers together, and all the variables

x^2+2x-2188=0

a = 1; b = 2; c = -2188;
Δ = b2-4ac
Δ = 22-4·1·(-2188)
Δ = 8756
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:

$\sqrt{\Delta}=\sqrt{8756}=\sqrt{4*2189}=\sqrt{4}*\sqrt{2189}=2\sqrt{2189}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{2189}}{2*1}=\frac{-2-2\sqrt{2189}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{2189}}{2*1}=\frac{-2+2\sqrt{2189}}{2}
$