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The roots of the equation x² - 8x + k = 0 are 4 and 4. Find k. (2021)

Practice Questions

Q1
The roots of the equation x² - 8x + k = 0 are 4 and 4. Find k. (2021)
  1. 16
  2. 8
  3. 0
  4. 4

Questions & Step-by-Step Solutions

The roots of the equation x² - 8x + k = 0 are 4 and 4. Find k. (2021)
  • Step 1: Identify the given quadratic equation, which is x² - 8x + k = 0.
  • Step 2: Note that the roots of the equation are given as 4 and 4 (which means both roots are the same).
  • Step 3: Recall the relationship between the roots and the constant term (k) in a quadratic equation. The product of the roots can be used to find k.
  • Step 4: Calculate the product of the roots: 4 * 4.
  • Step 5: Perform the multiplication: 4 * 4 = 16.
  • Step 6: Conclude that k = 16.
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