12m^2+5m-4=0

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Solution for 12m^2+5m-4=0 equation:



12m^2+5m-4=0
a = 12; b = 5; c = -4;
Δ = b2-4ac
Δ = 52-4·12·(-4)
Δ = 217
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{217}}{2*12}=\frac{-5-\sqrt{217}}{24} $
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{217}}{2*12}=\frac{-5+\sqrt{217}}{24} $

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