30k^2-11k-30=0

Solution for 30k^2-11k-30=0 equation:

30k^2-11k-30=0

a = 30; b = -11; c = -30;
Δ = b2-4ac
Δ = -112-4·30·(-30)
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-61}{2*30}=\frac{-50}{60}
=-5/6
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+61}{2*30}=\frac{72}{60}
=1+1/5
$