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Example: Quadratic Formula
Solve: x² - 5x + 6 = 0
Step-by-Step Solution:
- Step 1: Identify the values: a=1, b=-5, c=6
- Step 2: Apply the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a
- Step 3: Substitute the values: x = (5 ± √(25 - 24)) / 2
- Step 4: Simplify: x = (5 ± √1) / 2 = (5 ± 1) / 2
- Step 5: Therefore, x = 3 or x = 2
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