What are the roots of the equation 3x² - 12x + 12 = 0? (2019)

Practice Questions

Q1
What are the roots of the equation 3x² - 12x + 12 = 0? (2019)
  1. 2
  2. 4
  3. 0
  4. 3

Questions & Step-by-Step Solutions

What are the roots of the equation 3x² - 12x + 12 = 0? (2019)
  • Step 1: Start with the equation 3x² - 12x + 12 = 0.
  • Step 2: Divide the entire equation by 3 to simplify it. This gives you x² - 4x + 4 = 0.
  • Step 3: Now, look for two numbers that multiply to 4 (the last number) and add up to -4 (the middle number). These numbers are -2 and -2.
  • Step 4: Rewrite the equation using these numbers: (x - 2)(x - 2) = 0.
  • Step 5: This can be written as (x - 2)² = 0.
  • Step 6: To find the root, set (x - 2) = 0. This gives you x = 2.
  • Step 7: Therefore, the root of the equation is 2.
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