3f^2+11f+8=0

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Solution for 3f^2+11f+8=0 equation: 



3f^2+11f+8=0

a = 3; b = 11; c = +8;
Δ = b2-4ac
Δ = 112-4·3·8
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$f_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$


$f_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-5}{2*3}=\frac{-16}{6}
=-2+2/3
$


$f_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+5}{2*3}=\frac{-6}{6}
=-1
$

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