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For the quadratic equation x² + 2x + k = 0 to have real roots, what is the condition on k? (2021)

Practice Questions

1 question
Q1
For the quadratic equation x² + 2x + k = 0 to have real roots, what is the condition on k? (2021)
  1. k ≥ 1
  2. k ≤ 1
  3. k > 1
  4. k < 1

Questions & Step-by-step Solutions

1 item
Q
Q: For the quadratic equation x² + 2x + k = 0 to have real roots, what is the condition on k? (2021)
Solution: The discriminant must be non-negative: 2² - 4*1*k ≥ 0, which simplifies to k ≤ 1.
Steps: 0

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