这个公式是怎么来的?
2个回答
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x² - x - 2 = x² - 2×(1/2)× x +(1/2)² - (1/2)² - 2
= (x - 1/2)² - [(1/2)² + 2] 注:(a - b)² = a² - 2ab + b²
= (x - 1/2)² - (1/4 + 2)
= (x - 1/2)² - (9/4)
= (x - 1/2)² - (3/2)²
= [(x - 1/2) + (3/2)]×[(x - 1/2) - (3/2)] 注:a² - b² = (a + b)(a - b)
= (x + 1)(x - 2)
= (x - 1/2)² - [(1/2)² + 2] 注:(a - b)² = a² - 2ab + b²
= (x - 1/2)² - (1/4 + 2)
= (x - 1/2)² - (9/4)
= (x - 1/2)² - (3/2)²
= [(x - 1/2) + (3/2)]×[(x - 1/2) - (3/2)] 注:a² - b² = (a + b)(a - b)
= (x + 1)(x - 2)
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