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Answer:
x ≈ - 5.83 , x ≈ - 0.17
Step-by-step explanation:
x² + 6x + 1 = 0 ( subtract 1 from both sides )
x² + 6x = - 1
Using the method of completing the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(3)x + 9 = - 1 + 9
(x + 3)² = 8 ( take square root of both sides )
x + 3 = ± ( subtract 3 from both sides )
x = - 3 ±
Then
x = - 3 - ≈ - 5.83 ( to 2 dec. places )
x = - 3 + ≈ - 0.17 ( to 2 dec. places )