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What is the sum of the roots of the equation 3x² + 12x + 9 = 0? (2021)

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Question: What is the sum of the roots of the equation 3x² + 12x + 9 = 0? (2021)

Options:

  1. -4
  2. -3
  3. -2
  4. -1

Correct Answer: -4

Exam Year: 2021

Solution: 

The sum of the roots is given by -b/a = -12/3 = -4.

What is the sum of the roots of the equation 3x² + 12x + 9 = 0? (2021)

Practice Questions

Q1
What is the sum of the roots of the equation 3x² + 12x + 9 = 0? (2021)
  1. -4
  2. -3
  3. -2
  4. -1

Questions & Step-by-Step Solutions

What is the sum of the roots of the equation 3x² + 12x + 9 = 0? (2021)
  • Step 1: Identify the coefficients in the quadratic equation 3x² + 12x + 9 = 0. Here, a = 3, b = 12, and c = 9.
  • Step 2: Use the formula for the sum of the roots of a quadratic equation, which is -b/a.
  • Step 3: Substitute the value of b (which is 12) and a (which is 3) into the formula: -b/a = -12/3.
  • Step 4: Calculate -12 divided by 3, which equals -4.
  • Step 5: Conclude that the sum of the roots of the equation is -4.
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