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What is the value of k for which the equation x^2 + kx + 16 = 0 has no real roots? (2021)

Practice Questions

1 question
Q1
What is the value of k for which the equation x^2 + kx + 16 = 0 has no real roots? (2021)
  1. -8
  2. -4
  3. 4
  4. 8

Questions & Step-by-step Solutions

1 item
Q
Q: What is the value of k for which the equation x^2 + kx + 16 = 0 has no real roots? (2021)
Solution: The discriminant must be less than zero. Thus, k^2 - 4*1*16 < 0 leads to k^2 < 64, giving k < 8 and k > -8.
Steps: 0

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