Harmonic Roots

Algebra Level 3

Solve the equation $$3x^{3} + 11x^{2}+12x+4=0$$ if it is given that the roots form a Harmonic Progression. If the roots are A,B and C/D. Find A+B+C-D

Note- For the root C/D ( the third root in the form of a fraction) , take the numerator to be negative while expressing it as a common fraction.

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