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If the roots of the equation x² + 5x + k = 0 are -2 and -3, find k. (2020)

Practice Questions

Q1
If the roots of the equation x² + 5x + k = 0 are -2 and -3, find k. (2020)
  1. 6
  2. 5
  3. 7
  4. 8

Questions & Step-by-Step Solutions

If the roots of the equation x² + 5x + k = 0 are -2 and -3, find k. (2020)
  • Step 1: Identify the equation given, which is x² + 5x + k = 0.
  • Step 2: Recognize that the roots of the equation are given as -2 and -3.
  • Step 3: Recall the property of quadratic equations that states the product of the roots (r1 and r2) is equal to k.
  • Step 4: Calculate the product of the roots: (-2) * (-3).
  • Step 5: Perform the multiplication: -2 * -3 = 6.
  • Step 6: Conclude that k = 6.
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