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If the quadratic equation x^2 + 7x + k = 0 has roots that are both positive, what is the minimum value of k? (2021)

Practice Questions

1 question
Q1
If the quadratic equation x^2 + 7x + k = 0 has roots that are both positive, what is the minimum value of k? (2021)
  1. 6
  2. 7
  3. 8
  4. 9

Questions & Step-by-step Solutions

1 item
Q
Q: If the quadratic equation x^2 + 7x + k = 0 has roots that are both positive, what is the minimum value of k? (2021)
Solution: For both roots to be positive, k must be greater than 12 (from Vieta's formulas). The minimum integer k is 13.
Steps: 0

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