What is the value of k if the quadratic equation x^2 + kx + 16 = 0 has no real roots?

Practice Questions

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

Questions & Step-by-step Solutions

1 item
Q
Q: What is the value of k if the quadratic equation x^2 + kx + 16 = 0 has no real roots?
Solution: The discriminant must be less than zero: k^2 - 4*1*16 < 0 => k^2 < 64 => k < 8 and k > -8.
Steps: 0

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