15m^2+29m+12=0

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Solution for 15m^2+29m+12=0 equation:



15m^2+29m+12=0
a = 15; b = 29; c = +12;
Δ = b2-4ac
Δ = 292-4·15·12
Δ = 121
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{121}=11$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(29)-11}{2*15}=\frac{-40}{30} =-1+1/3 $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(29)+11}{2*15}=\frac{-18}{30} =-3/5 $

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