Math Problem Statement
If α,β are the roots of equation x²-2x+3=0, then find 1/(2-α)⁴+1/(2-β)⁴ ?
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Equations
Complex Numbers
De Moivre's Theorem
Formulas
Quadratic formula: x = (-b ± √(b² - 4ac)) / 2a
Polar form of complex numbers
De Moivre's Theorem: (cos θ + i sin θ)^n = cos(nθ) + i sin(nθ)
Theorems
Quadratic Formula
De Moivre's Theorem
Suitable Grade Level
Grades 11-12
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