If x^2+2=6x solve for x by completing the square.

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The equation x^2 + 2 = 6x has to be solved by completion of squares.

x^2 + 2 = 6x

=> x^2 - 6x + 2 = 0

=> x^2 - 6x + 9 + 2 = 9

=> (x - 3)^2 = 7

=> x - 3 = `sqrt 7` and x - 3 = `-sqrt 7`

=> x = `3 + sqrt 7` and x = `3 - sqrt 7`

The roots of the equation are x = `3 + sqrt 7` and x = `3 - sqrt 7`

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