Find c from Complex Cube

1800SpecialistComplex NumbersNumber Theory

AIME · 1985 · Problem 3

Find $c$ if $a$, $b$, and $c$ are positive integers which satisfy $c=(a + bi)^3 - 107i$, where $i^2 = -1$. [[1985 AIME Problems/Problem 3 | Solution]]

0 students attempted0% solvedRating 1800

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Find c from Complex Cube

1800SpecialistComplex NumbersNumber Theory

AIME · 1985 · Problem 3

Find $c$ if $a$, $b$, and $c$ are positive integers which satisfy $c=(a + bi)^3 - 107i$, where $i^2 = -1$. [[1985 AIME Problems/Problem 3 | Solution]]

0 students attempted0% solvedRating 1800