3j^2+41j-14=0

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Solution for 3j^2+41j-14=0 equation:



3j^2+41j-14=0
a = 3; b = 41; c = -14;
Δ = b2-4ac
Δ = 412-4·3·(-14)
Δ = 1849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$j_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$j_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1849}=43$
$j_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(41)-43}{2*3}=\frac{-84}{6} =-14 $
$j_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(41)+43}{2*3}=\frac{2}{6} =1/3 $

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