44u^2-16u-112=0

Solution for 44u^2-16u-112=0 equation:

44u^2-16u-112=0

a = 44; b = -16; c = -112;
Δ = b2-4ac
Δ = -162-4·44·(-112)
Δ = 19968
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{19968}=\sqrt{256*78}=\sqrt{256}*\sqrt{78}=16\sqrt{78}$
$u_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-16\sqrt{78}}{2*44}=\frac{16-16\sqrt{78}}{88}
$
$u_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+16\sqrt{78}}{2*44}=\frac{16+16\sqrt{78}}{88}
$