X^2+20x-14=0

Solution for X^2+20x-14=0 equation:

X^2+20X-14=0

a = 1; b = 20; c = -14;
Δ = b2-4ac
Δ = 202-4·1·(-14)
Δ = 456
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:

$\sqrt{\Delta}=\sqrt{456}=\sqrt{4*114}=\sqrt{4}*\sqrt{114}=2\sqrt{114}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-2\sqrt{114}}{2*1}=\frac{-20-2\sqrt{114}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+2\sqrt{114}}{2*1}=\frac{-20+2\sqrt{114}}{2}
$