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Let a,b,c be real numbers such that a+b+...

Let `a,b,c` be real numbers such that `a+b+c=6` and `ab+bc+ca=9,` If exactly one root of the equation `x^(2)-(m+2)x+5m=0` lies between minimum and maximum value of `c`, then find the number of integral values of `m`.

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