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What is the value of the discriminant for the equation 3x² + 6x + 2 = 0? (2020)

Practice Questions

Q1
What is the value of the discriminant for the equation 3x² + 6x + 2 = 0? (2020)
  1. 0
  2. 4
  3. 12
  4. 6

Questions & Step-by-Step Solutions

What is the value of the discriminant for the equation 3x² + 6x + 2 = 0? (2020)
  • Step 1: Identify the coefficients a, b, and c from the equation 3x² + 6x + 2 = 0. Here, a = 3, b = 6, and c = 2.
  • Step 2: Write the formula for the discriminant, which is D = b² - 4ac.
  • Step 3: Substitute the values of a, b, and c into the formula. This gives us D = 6² - 4 * 3 * 2.
  • Step 4: Calculate 6², which is 36.
  • Step 5: Calculate 4 * 3 * 2, which is 24.
  • Step 6: Subtract 24 from 36 to find the discriminant: 36 - 24 = 12.
  • Step 7: Conclude that the value of the discriminant D is 12.
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