Girard Symmetry

Algebra Level 4

Non-zero xx and yy are such that x2+xy+y2=0x^2+xy+y^2=0. Find the value of x2001+y2001(x+y)2001\dfrac {x^{2001}+y^{2001}}{(x+y)^{2001}}.

Rajdeep Ghosh by Rajdeep Ghosh
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