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NDA 2023
Exam
NDA
Year
2023
Subject
Mathematics
Chapter
Complex Number

NDA 2023 · Mathematics · Complex Number

Consider equation-I: z^3+2 z^2+2 z+1=0 and equation -II: z^ 1985...

Consider equation-I: z3+2z2+2z+1=0z^3+2 z^2+2 z+1=0 and equation -II: z1985+z100+1=0z^{1985}+z^{100}+1=0 What is the number of common roots of equation-I and equation-II?

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

C. 2

Step-by-step solution

Since, the common roots of equation-I and equation-II are ω,ω2⇒\omega, \omega^2\Rightarrow Number of common roots =2=2
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