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NDA2023MathematicsComplex NumberActual

Consider equation-I: z^3+2 z^2+2 z+1=0 and equation -II: z¹⁹⁸⁵+z¹⁰⁰+1=0 What are the roots of equation – I?

Options

  1. A1, , ^2
  2. B-1, , ^2
  3. C1,- , ^2
  4. D-1,- ,- ^2

Correct answer

B. -1, , ^2

Step-by-step solution

Given the equation-I is aligned & z^3+2 z^2+2 z+1=0 z^3+z^2+z^2+z+z+1=0 & z^2(z+1)+z(z+1)+(z+1)=0 & (z+1) (z^2+z+1 )=0 & z=-1, , ^2 aligned

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