Complex numbers sum of squares cubes

2050SpecialistPolynomialsComplex NumbersAlgebra

AIME · 1983 · 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?

0 students attempted0% solvedRating 2050

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Complex numbers sum of squares cubes

2050SpecialistPolynomialsComplex NumbersAlgebra

AIME · 1983 · 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?

0 students attempted0% solvedRating 2050