12x2+13x+3=0

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Solution for 12x2+13x+3=0 equation:



12x^2+13x+3=0
a = 12; b = 13; c = +3;
Δ = b2-4ac
Δ = 132-4·12·3
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-5}{2*12}=\frac{-18}{24} =-3/4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+5}{2*12}=\frac{-8}{24} =-1/3 $

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