112x^2+1008x-1=0

Solution for 112x^2+1008x-1=0 equation:

112x^2+1008x-1=0

a = 112; b = 1008; c = -1;
Δ = b2-4ac
Δ = 10082-4·112·(-1)
Δ = 1016512
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:

$\sqrt{\Delta}=\sqrt{1016512}=\sqrt{64*15883}=\sqrt{64}*\sqrt{15883}=8\sqrt{15883}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1008)-8\sqrt{15883}}{2*112}=\frac{-1008-8\sqrt{15883}}{224}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1008)+8\sqrt{15883}}{2*112}=\frac{-1008+8\sqrt{15883}}{224}
$