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What are the roots of the equation 3x^2 + 12x + 12 = 0?

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Question: What are the roots of the equation 3x^2 + 12x + 12 = 0?

Options:

  1. x = -2
  2. x = -4
  3. x = -2, -2
  4. x = 0

Correct Answer: x = -2, -2

Solution: 

Using the quadratic formula x = (-b ± √(b^2 - 4ac)) / 2a, we find x = (-12 ± √(144 - 144)) / 6 = -2.

What are the roots of the equation 3x^2 + 12x + 12 = 0?

Practice Questions

Q1
What are the roots of the equation 3x^2 + 12x + 12 = 0?
  1. x = -2
  2. x = -4
  3. x = -2, -2
  4. x = 0

Questions & Step-by-Step Solutions

What are the roots of the equation 3x^2 + 12x + 12 = 0?
  • Quadratic Equations – The question tests the ability to solve a quadratic equation using the quadratic formula.
  • Discriminant – Understanding the discriminant (b^2 - 4ac) is crucial for determining the nature of the roots.
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