The roots of the equation x² + 2x + k = 0 are real and distinct if k is: (2020)

Practice Questions

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Q1
The roots of the equation x² + 2x + k = 0 are real and distinct if k is: (2020)
  1. < 1
  2. ≥ 1
  3. ≤ 1
  4. > 1

Questions & Step-by-step Solutions

1 item
Q
Q: The roots of the equation x² + 2x + k = 0 are real and distinct if k is: (2020)
Solution: For real and distinct roots, the discriminant must be positive: 2² - 4*1*k > 0, which simplifies to k < 1.
Steps: 0

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