6k^2+5k-1=0

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Solution for 6k^2+5k-1=0 equation: 



6k^2+5k-1=0

a = 6; b = 5; c = -1;
Δ = b2-4ac
Δ = 52-4·6·(-1)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$


$k_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-7}{2*6}=\frac{-12}{12}
=-1
$


$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+7}{2*6}=\frac{2}{12}
=1/6
$

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