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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)
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Questions & Step-by-Step Solutions
What are the roots of the equation 3x² - 12x + 12 = 0? (2019)
Steps
Concepts
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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