X^2-26x-2200=0

Solution for X^2-26x-2200=0 equation:

X^2-26X-2200=0

a = 1; b = -26; c = -2200;
Δ = b2-4ac
Δ = -262-4·1·(-2200)
Δ = 9476
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:

$\sqrt{\Delta}=\sqrt{9476}=\sqrt{4*2369}=\sqrt{4}*\sqrt{2369}=2\sqrt{2369}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-26)-2\sqrt{2369}}{2*1}=\frac{26-2\sqrt{2369}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-26)+2\sqrt{2369}}{2*1}=\frac{26+2\sqrt{2369}}{2}
$