X2+2x-323=0

Solution for X2+2x-323=0 equation:

X2+2X-323=0

We add all the numbers together, and all the variables

X^2+2X-323=0

a = 1; b = 2; c = -323;
Δ = b2-4ac
Δ = 22-4·1·(-323)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-36}{2*1}=\frac{-38}{2}
=-19
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+36}{2*1}=\frac{34}{2}
=17
$