18k^2-70k-8=0

Solution for 18k^2-70k-8=0 equation:

18k^2-70k-8=0

a = 18; b = -70; c = -8;
Δ = b2-4ac
Δ = -702-4·18·(-8)
Δ = 5476
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{5476}=74$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-70)-74}{2*18}=\frac{-4}{36}
=-1/9
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-70)+74}{2*18}=\frac{144}{36}
=4
$