15k^2+5k-1=0

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Solution for 15k^2+5k-1=0 equation: 



15k^2+5k-1=0

a = 15; b = 5; c = -1;
Δ = b2-4ac
Δ = 52-4·15·(-1)
Δ = 85
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{85}}{2*15}=\frac{-5-\sqrt{85}}{30}
$


$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{85}}{2*15}=\frac{-5+\sqrt{85}}{30}
$

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