56x^2-156.8x-109=0

Solution for 56x^2-156.8x-109=0 equation:

56x^2-156.8x-109=0

a = 56; b = -156.8; c = -109;
Δ = b2-4ac
Δ = -156.82-4·56·(-109)
Δ = 49002.24
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-156.8)-\sqrt{49002.24}}{2*56}=\frac{156.8-\sqrt{49002.24}}{112}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-156.8)+\sqrt{49002.24}}{2*56}=\frac{156.8+\sqrt{49002.24}}{112}
$