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If the roots of the equation x² + 5x + 6 = 0 are a and b, what is the value of a

Practice Questions

Q1
If the roots of the equation x² + 5x + 6 = 0 are a and b, what is the value of a + b? (2019)
  1. 5
  2. 6
  3. 10
  4. 4

Questions & Step-by-Step Solutions

If the roots of the equation x² + 5x + 6 = 0 are a and b, what is the value of a + b? (2019)
  • Step 1: Identify the equation given, which is x² + 5x + 6 = 0.
  • Step 2: Recognize that this is a quadratic equation in the form of ax² + bx + c = 0.
  • Step 3: Identify the coefficients: a = 1, b = 5, and c = 6.
  • Step 4: Use the formula for the sum of the roots of a quadratic equation, which is -b/a.
  • Step 5: Substitute the values of b and a into the formula: -b/a = -5/1.
  • Step 6: Calculate -5/1, which equals -5.
  • Step 7: Conclude that the value of a + b (the sum of the roots) is -5.
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