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If the roots of the equation x^2 - 4x + k = 0 are real and distinct, what is the condition for k? (2023)

Practice Questions

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

Questions & Step-by-step Solutions

1 item
Q
Q: If the roots of the equation x^2 - 4x + k = 0 are real and distinct, what is the condition for k? (2023)
Solution: The discriminant must be greater than zero for real and distinct roots: (-4)^2 - 4*1*k > 0, which simplifies to 16 - 4k > 0, or k < 4.
Steps: 0

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