# INMO - 1998

Algebra Level pending

Suppose $$a,b,c$$ are three real numbers such that the quadratic equation

$$x^2 - (a+b+c)x + (ab+bc+ca) = 0$$

has roots of the form $$\alpha + \iota\beta$$ ($$\iota^2 = -1$$), where $$\alpha > 0$$ & $$\beta \neq 0$$ are real numbers, then

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