1987 OIM Problems/Problem 5

Problem

If , , and are all the roots of the equation:

(a) Prove that , , and are all positive.

(b) Calculate .

Note: The range of falls between and , inclusive.

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

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See also

https://www.oma.org.ar/enunciados/ibe2.htm