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What is the discriminant of the equation 3x² - 12x + 12 = 0? (2023)

Practice Questions

Q1
What is the discriminant of the equation 3x² - 12x + 12 = 0? (2023)
  1. 0
  2. 12
  3. 36
  4. 24

Questions & Step-by-Step Solutions

What is the discriminant of the equation 3x² - 12x + 12 = 0? (2023)
  • Step 1: Identify the coefficients a, b, and c from the equation 3x² - 12x + 12 = 0. Here, a = 3, b = -12, and c = 12.
  • Step 2: Write the formula for the discriminant, which is b² - 4ac.
  • Step 3: Substitute the values of a, b, and c into the formula: (-12)² - 4 * 3 * 12.
  • Step 4: Calculate (-12)², which is 144.
  • Step 5: Calculate 4 * 3 * 12, which is 144.
  • Step 6: Subtract the two results: 144 - 144 = 0.
  • Step 7: Conclude that the discriminant is 0.
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