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x² - 5x + 6 = 0
x² - 5x = -6
x² - 5x - (5/2)² = -6 - ( 5/2 )²
x² - 5x -(5/2)² = -6 - 25/4
x² - 5x -(5/2)² = -49/4
(x - 5/2) = - 49 / 4
x-5/2 = ±√-49/4
x-5/2 = ±-7/2
x1 = -(-7/2) + 5/2
= 12/2 = 6
x2 = -7/2 + 5/2
= -2/2
= -1