X^2-112x-25=0

Solution for X^2-112x-25=0 equation:

X^2-112X-25=0

a = 1; b = -112; c = -25;
Δ = b2-4ac
Δ = -1122-4·1·(-25)
Δ = 12644
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:

$\sqrt{\Delta}=\sqrt{12644}=\sqrt{4*3161}=\sqrt{4}*\sqrt{3161}=2\sqrt{3161}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-112)-2\sqrt{3161}}{2*1}=\frac{112-2\sqrt{3161}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-112)+2\sqrt{3161}}{2*1}=\frac{112+2\sqrt{3161}}{2}
$