3x^2+39x+12=0

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Solution for 3x^2+39x+12=0 equation:



3x^2+39x+12=0
a = 3; b = 39; c = +12;
Δ = b2-4ac
Δ = 392-4·3·12
Δ = 1377
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{1377}=\sqrt{81*17}=\sqrt{81}*\sqrt{17}=9\sqrt{17}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(39)-9\sqrt{17}}{2*3}=\frac{-39-9\sqrt{17}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(39)+9\sqrt{17}}{2*3}=\frac{-39+9\sqrt{17}}{6} $

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