3k^2-1k-8=0

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Solution for 3k^2-1k-8=0 equation: 



3k^2-1k-8=0

a = 3; b = -1; c = -8;
Δ = b2-4ac
Δ = -12-4·3·(-8)
Δ = 97
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{-(-1)-\sqrt{97}}{2*3}=\frac{1-\sqrt{97}}{6}
$


$k_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{97}}{2*3}=\frac{1+\sqrt{97}}{6}
$

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