The quadratic equation 2x^2 - 4x + k = 0 has no real roots. What is the condition for k? (2022)

Practice Questions

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Q1
The quadratic equation 2x^2 - 4x + k = 0 has no real roots. What is the condition for k? (2022)
  1. k < 0
  2. k > 0
  3. k > 8
  4. k < 8

Questions & Step-by-step Solutions

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Q
Q: The quadratic equation 2x^2 - 4x + k = 0 has no real roots. What is the condition for k? (2022)
Solution: The discriminant must be less than zero: (-4)^2 - 4*2*k < 0 leads to k > 8.
Steps: 0

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