INMO 2003 Problem 3
- Answer
Show that for every real number the equation
has at least one non-real root and find the sum of all the non-real roots of the equation.
Dataset text NuminaMath olympiads. Quoted with source.
Show the answer
1 \text{ for } a \leq \frac{3}{2}, \text{ and } 2 \text{ for } a > \frac{3}{2}
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