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Step-by-step explanation:
x² + 6x + 1 = 0
(x + 3)² - 8 = 0
(x + 3)² = 8
x + 3 = √8 or x + 3 = -√8
x = √8 - 3 or x = -√8 - 3
x = -0.17 or x = -5.83.