IMO 1959, Problem 2 · Algebra
IMO 1959, Problem 2
For what real values of is , where (a) , (b) , (c) ? (Only non-negative real numbers are admitted under the square roots, and only non-negative values are taken for the roots themselves.)
This is a proof problem. The answer is an argument, not a number. The solution is deliberately not posted here: reading a solution you didn't fight for teaches almost nothing. On Lemma you attempt it cold, take one of the 3 progressive hints only when genuinely stuck, then compare your proof against a full walkthrough and mark yourself with the same rubric a competition coordinator would use.
Guides that use this problem
- What to do when you have no idea how to startThe blank page is a procedure failure, not a knowledge failure. Five opening moves ordered by cost, and the rule that says when to abandon one for the next.
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