x² - 4x - 7 = x² - 4x + 4 - 11 = x² - 4x + 4 - 4 - 11 = (x - 2)² - 11
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x² - 4x - 7 = x² - 4x + 4 - 11 = x² - 4x + 4 - 4 - 11 = (x - 2)² - 11