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Let equation x^(2)+bx+c=0 has roots alph...

Let equation `x^(2)+bx+c=0` has roots `alpha` and `beta` such that `alpha+beta=3alpha beta` Also `alpha+5` and `beta+5` are roots of the equation `x^(2)+ex+f=0` such that `(e)/(f)=(1)/(23)`, then the value of `(b+c)` is equal to

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