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If the roots of the equation x^2 - 6x + k = 0 are real and distinct, what is the range of k? (2020)

Practice Questions

1 question
Q1
If the roots of the equation x^2 - 6x + k = 0 are real and distinct, what is the range of k? (2020)
  1. k < 9
  2. k > 9
  3. k = 9
  4. k ≤ 9

Questions & Step-by-step Solutions

1 item
Q
Q: If the roots of the equation x^2 - 6x + k = 0 are real and distinct, what is the range of k? (2020)
Solution: For real and distinct roots, the discriminant must be greater than zero: (-6)^2 - 4*1*k > 0, leading to k < 9.
Steps: 0

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