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If equations x^2 - 3x + 5 = 0 and (a + 2...

If equations `x^2 - 3x + 5 = 0` and `(a + 2)x^2-(b- 1)x+c=0; a, b, c in N,` have a common root and `c-a-b <= 6` then possible value(s) of `(a+b+c)` is(are)

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