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If the equation 3x^2 + 4ax + b = 0 has a...

If the equation `3x^2 + 4ax + b = 0` has at least one root in `(0,1)` such that `La + Mb + N = 0`, where `L, M, N` are co-prime numbers, then the value of `L + M + N + LMN` is

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