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If x^(2)+3x+7=0 and ax^(2)+bx+c=0 have a...

If `x^(2)+3x+7=0` and `ax^(2)+bx+c=0` have a common root,such that `a,b,c in{1,2,3,......,50}` then the sum of minimum and maximum values of `a+b+c` is

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