PAMO 2004 Problem 4
- Day 2
Three real numbers satisfy the following statements: (1) the square of their sum equals to the sum their squares. (2) the product of the first two numbers is equal to the square of the third number.
Find these numbers.
Dataset text AI-MO AoPS. Quoted with source.
Official text: Pan-African Mathematics Olympiad 2004 official paper, page 1.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
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