Find the common roots of equation z^ 3 +2 z^ 2 +2 z+1=0 and 2^ 1185 +2^ 100 +1=0 .

Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations

1. 1, \(\omega\)
2. \(\omega_{1} \omega^{2}\)
3. \(-1, \omega\)
4. None of these

Answer

(C) -1,

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