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Question 220005
JEE Mathematics · Easy

Quadratic Equations and Inequalities: Nature of Roots MCQ

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Nature of RootsEasyQuestion 220005

Question

The roots of x² + x + 1 = 0 are:
  1. A
    Real and equal
  2. B
    Real and distinct
  3. C
    Complex conjugates
    Correct
  4. D
    All real

Correct answer

Complex conjugates

Explanation

D = 1 − 4 = −3 < 0, so the roots are complex conjugates: (−1 ± i√3)/2 = ω, ω².

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