10k^2+5k-30=0

Solution for 10k^2+5k-30=0 equation:

10k^2+5k-30=0

a = 10; b = 5; c = -30;
Δ = b2-4ac
Δ = 52-4·10·(-30)
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-35}{2*10}=\frac{-40}{20}
=-2
$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+35}{2*10}=\frac{30}{20}
=1+1/2
$