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What is the discriminant of the equation 3x^2 + 6x + 2 = 0?

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Question: What is the discriminant of the equation 3x^2 + 6x + 2 = 0?

Options:

  1. 0
  2. 2
  3. 6
  4. 12

Correct Answer: 0

Solution: 

The discriminant is b^2 - 4ac = 6^2 - 4*3*2 = 36 - 24 = 12.

What is the discriminant of the equation 3x^2 + 6x + 2 = 0?

Practice Questions

Q1
What is the discriminant of the equation 3x^2 + 6x + 2 = 0?
  1. 0
  2. 2
  3. 6
  4. 12

Questions & Step-by-Step Solutions

What is the discriminant of the equation 3x^2 + 6x + 2 = 0?
Correct Answer: 12
  • Step 1: Identify the coefficients a, b, and c from the equation 3x^2 + 6x + 2 = 0. Here, a = 3, b = 6, and c = 2.
  • Step 2: Write the formula for the discriminant, which is b^2 - 4ac.
  • Step 3: Calculate b^2. Since b = 6, we have 6^2 = 36.
  • Step 4: Calculate 4ac. Here, a = 3 and c = 2, so 4 * 3 * 2 = 24.
  • Step 5: Subtract the result from Step 4 from the result in Step 3. So, 36 - 24 = 12.
  • Step 6: The discriminant is 12.
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