# The information isn't insufficient

Algebra Level 5

Let $$a, b,c$$ be three 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 $$c$$, find the number of integral values of $$m$$.

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