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What is the value of k if the roots of the equation x^2 - kx + 9 = 0 are 3 and 3

Practice Questions

Q1
What is the value of k if the roots of the equation x^2 - kx + 9 = 0 are 3 and 3?
  1. 6
  2. 9
  3. 3
  4. 12

Questions & Step-by-Step Solutions

What is the value of k if the roots of the equation x^2 - kx + 9 = 0 are 3 and 3?
  • Step 1: Identify the equation given, which is x^2 - kx + 9 = 0.
  • Step 2: Recognize that the roots of the equation are given as 3 and 3.
  • Step 3: Calculate the sum of the roots. Since both roots are 3, the sum is 3 + 3 = 6.
  • Step 4: Use the relationship between the sum of the roots and the coefficient k. The sum of the roots is equal to k.
  • Step 5: Therefore, since the sum of the roots is 6, we conclude that k = 6.
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