5k2-3k-1=0

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Solution for 5k2-3k-1=0 equation: 



5k^2-3k-1=0

a = 5; b = -3; c = -1;
Δ = b2-4ac
Δ = -32-4·5·(-1)
Δ = 29
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{-(-3)-\sqrt{29}}{2*5}=\frac{3-\sqrt{29}}{10}
$


$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{29}}{2*5}=\frac{3+\sqrt{29}}{10}
$

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