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The quadratic equation x^2 + 6x + k = 0 has roots that are both negative. What is the condition for k? (2020)

Practice Questions

1 question
Q1
The quadratic equation x^2 + 6x + k = 0 has roots that are both negative. What is the condition for k? (2020)
  1. k > 9
  2. k < 9
  3. k = 9
  4. k = 0

Questions & Step-by-step Solutions

1 item
Q
Q: The quadratic equation x^2 + 6x + k = 0 has roots that are both negative. What is the condition for k? (2020)
Solution: For both roots to be negative, k must be greater than the square of half the coefficient of x, hence k > 9.
Steps: 0

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