Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Roots of Complex Numbers
Polar Coordinates
Arguments of Complex Numbers
Formulas
Modulus of a complex number: r = √(a^2 + b^2)
Argument of a complex number: θ = atan2(b, a)
De Moivre's Theorem: z_k = √[n]{r} (cos((θ + 2kπ)/n) + i sin((θ + 2kπ)/n))
Theorems
De Moivre's Theorem
Suitable Grade Level
University Level (Complex Analysis or Advanced Algebra)