Grade 12th passAlgebra
How many roots of the equation z^4+z^2+1 lie in the region |z|
How many roots of the equation z^4+z^2+1 lie in the region |z|
1 Answer
Deepak Kumar Shringi
put z^2=t so t =w (omega) or w^2
z = root w or – root w or -w or w 4 roots
now for two roots |z| = 1
z = root w or – root w or -w or w 4 roots
now for two roots |z| = 1
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