Algebra of complex numbers; conjugation, polar representation, modulus, argument, triangle inequality, cube roots of unity; fundamental theorem of algebra (statement); quadratic equations with real coefficients; arithmetic and geometric progressions; means; sums of n natural numbers, squares and cubes; logarithms; permutations and combinations; binomial theorem for positive integral index.
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Q1 · Algebra · HARD
If α, β are the roots of x² - 3x + 1 = 0, then the value of α⁷ + β⁷ is: