What is the value of k for which the equation x² - 6x + k = 0 has roots 2 and 4?

Practice Questions

Q1
What is the value of k for which the equation x² - 6x + k = 0 has roots 2 and 4? (2022)
  1. 8
  2. 12
  3. 10
  4. 6

Questions & Step-by-Step Solutions

What is the value of k for which the equation x² - 6x + k = 0 has roots 2 and 4? (2022)
  • Step 1: Identify the roots of the equation. The roots given are 2 and 4.
  • Step 2: Recall that for a quadratic equation in the form x² - (sum of roots)x + (product of roots) = 0, the product of the roots is equal to k.
  • Step 3: Calculate the product of the roots. Multiply the roots: 2 * 4.
  • Step 4: Perform the multiplication: 2 * 4 = 8.
  • Step 5: Conclude that the value of k is 8.
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