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Use the method of completing the square to solve x2 - 6x + 1 = 0. Simplify your solutions.

Correct work and method must be shown to receive credit for a correct answer.

Respuesta :

mathstudent55

Answer:

[tex] x = 3 + 2\sqrt{2} ~~~ or ~~~ x = 3 - 2\sqrt{2} [/tex]

Step-by-step explanation:

[tex] x^2 - 6x + 1 = 0 [/tex]

[tex] x^2 - 6x = -1 [/tex]

[tex] x^2 - 6x + 9 = -1 + 9 [/tex]

[tex] (x - 3)^2 = 8 [/tex]

[tex] x - 3 = \pm \sqrt{8} [/tex]

[tex] x - 3 = 2\sqrt{2} ~~~ or ~~~ x - 3 = -2\sqrt{2} [/tex]

[tex] x = 3 + 2\sqrt{2} ~~~ or ~~~ x = 3 - 2\sqrt{2} [/tex]