Problem

1983 AIME Problem 5

Suppose that the sum of the squares of two complex numbers x and y is 7 and the sum of the cubes is 10. What is the largest real value that x + y can have?

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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Problem Tags: 3-d Geometry
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Category: AIME
Points: 3
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