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If the roots of the equation x^2 + 5x + k = 0 are real and distinct, what is the condition on k? (2023)

Practice Questions

1 question
Q1
If the roots of the equation x^2 + 5x + k = 0 are real and distinct, what is the condition on k? (2023)
  1. k < 25
  2. k > 25
  3. k = 25
  4. k ≤ 25

Questions & Step-by-step Solutions

1 item
Q
Q: If the roots of the equation x^2 + 5x + k = 0 are real and distinct, what is the condition on k? (2023)
Solution: The discriminant must be greater than zero: 5^2 - 4(1)(k) > 0, leading to k < 25.
Steps: 0

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