To solve the quadratic equation x² - 20x + 98 = 0 by completing the square, we can follow these steps:
1. Move the constant term to the right side of the equation:
x² - 20x = -98
2. Take half of the coefficient of x, square it, and add it to both sides of the equation:
x² - 20x + (-20/2)² = -98 + (-20/2)²
x² - 20x + 100 = -98 + 100
x² - 20x + 100 = 2
3. Factor the left side of the equation as a perfect square:
(x - 10)² = 2
4. Take the square root of both sides of the equation:
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