Powers of Complex Roots
Difficulty: Medium · Topics: Algebra, Complex Numbers, Quadratics
Kompleks ildizlarning darajalari
α and β are roots of the equation
x^2-x+2=0 with Im(α) Im(β).
Calculate α^6+α^4+β^4-5α^2.
α va β —
x^2-x+2=0 tenglamaning ildizlari, Im(α) Im(β).
α^6+α^4+β^4-5α^2 ni hisoblang.