Complex Numbers and Quadratic Equations · Class 11 · CBSE · Science Mathematics
The roots of the quadratic equation x² + 4x + 13 = 0 are
Practice question from Complex Numbers and Quadratic Equations (Class 11 · CBSE · Science Mathematics), with the correct answer and a step-by-step solution.
medium · MCQ · Q-6DEDE7
The roots of the quadratic equation x² + 4x + 13 = 0 are
- A.2 ± 3i
- B.-2 ± 3iCorrect answer
- C.-4 ± 3i
- D.2 ± 13i
Solution
The discriminant is Δ = 4² - 4(1)(13) = -36. Therefore, x = (-4 ± √(-36))/2 = (-4 ± 6i)/2 = -2 ± 3i.
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