30k^2+2k-56=0

Solution for 30k^2+2k-56=0 equation:

30k^2+2k-56=0

a = 30; b = 2; c = -56;
Δ = b2-4ac
Δ = 22-4·30·(-56)
Δ = 6724
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6724}=82$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-82}{2*30}=\frac{-84}{60}
=-1+2/5
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+82}{2*30}=\frac{80}{60}
=1+1/3
$