y^2-2y-112=0

Solution for y^2-2y-112=0 equation:

y^2-2y-112=0

a = 1; b = -2; c = -112;
Δ = b2-4ac
Δ = -22-4·1·(-112)
Δ = 452
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{452}=\sqrt{4*113}=\sqrt{4}*\sqrt{113}=2\sqrt{113}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2\sqrt{113}}{2*1}=\frac{2-2\sqrt{113}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2\sqrt{113}}{2*1}=\frac{2+2\sqrt{113}}{2}
$