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

Practice Questions

Q1
What is the value of k if the equation x^2 - kx + 9 = 0 has roots that 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 equation x^2 - kx + 9 = 0 has roots that are 3 and 3?
  • Step 1: Identify the roots of the equation. The roots given are 3 and 3.
  • Step 2: Calculate the sum of the roots. Add the two roots together: 3 + 3 = 6.
  • Step 3: Use the relationship between the sum of the roots and the value of k. In the equation x^2 - kx + 9 = 0, the sum of the roots is equal to k.
  • Step 4: Since the sum of the roots is 6, we can conclude that k = 6.
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