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What is the value of k if the roots of the equation x^2 - kx + 8 = 0 are 2 and 4

Practice Questions

Q1
What is the value of k if the roots of the equation x^2 - kx + 8 = 0 are 2 and 4? (2023)
  1. 6
  2. 8
  3. 10
  4. 12

Questions & Step-by-Step Solutions

What is the value of k if the roots of the equation x^2 - kx + 8 = 0 are 2 and 4? (2023)
  • Step 1: Identify the equation given, which is x^2 - kx + 8 = 0.
  • Step 2: Recognize that the roots of the equation are given as 2 and 4.
  • Step 3: Calculate the sum of the roots by adding them together: 2 + 4.
  • Step 4: The sum of the roots is 6.
  • Step 5: In a quadratic equation of the form x^2 - kx + c = 0, the sum of the roots is equal to k.
  • Step 6: Since we found the sum of the roots to be 6, we can conclude that k = 6.
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