3x2+11x+5=0

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Solution for 3x2+11x+5=0 equation: 



3x^2+11x+5=0

a = 3; b = 11; c = +5;
Δ = b2-4ac
Δ = 112-4·3·5
Δ = 61
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(11)-\sqrt{61}}{2*3}=\frac{-11-\sqrt{61}}{6}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(11)+\sqrt{61}}{2*3}=\frac{-11+\sqrt{61}}{6}
$

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