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Let f(x)=ax^(2)+bx+c, a ne 0, a, b, c in...

Let `f(x)=ax^(2)+bx+c`, `a ne 0`, `a`, `b`, `c in I`. Suppose that `f(1)=0`, `50 lt f(7) lt 60 ` and `70 lt f(8) lt 80`.
The least value of `f(x)` is

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