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What is the value of k for which the equation x^2 - 4x + k = 0 has roots that are equal?

Practice Questions

1 question
Q1
What is the value of k for which the equation x^2 - 4x + k = 0 has roots that are equal?
  1. 4
  2. 8
  3. 16
  4. 0

Questions & Step-by-step Solutions

1 item
Q
Q: What is the value of k for which the equation x^2 - 4x + k = 0 has roots that are equal?
Solution: For equal roots, the discriminant must be zero: (-4)^2 - 4*1*k = 0 => 16 - 4k = 0 => k = 4.
Steps: 0

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