-56x^2-113x-56=0

Solution for -56x^2-113x-56=0 equation:

-56x^2-113x-56=0

a = -56; b = -113; c = -56;
Δ = b2-4ac
Δ = -1132-4·(-56)·(-56)
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-113)-15}{2*-56}=\frac{98}{-112}
=-7/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-113)+15}{2*-56}=\frac{128}{-112}
=-1+1/7
$