SOLUTION: How to factor x^2-2x=2 by completing the square?

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Question 682947: How to factor x^2-2x=2 by completing the square?
Found 2 solutions by ReadingBoosters, DrBeeee:
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-2x+=+2
...
%28-2%2F2%29%5E2+=+%28-1%29%5E2+=+1
x%5E2+-+2x+%2B+1+=+2+%2B+1
...
%28x-1%29%5E2+=+3
...
sqrt%28x-1%29%5E2 = +/- sqrt%283%29
...
x-1 = +/- sqrt%283%29
x = 1%2B-sqrt%283%29
...
highlight_green%28x+=+1%2Bsqrt%283%29%29
AND
highlight_green%28x=1-sqrt%283%29%29
..............................
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Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
(1) x^2 -2x = 2
Completing the square on the left side of (1) allows us to rewrite (1) as
(2) (x-1)^2 -1 = 2 or
(3) (x-1)^2 = 3
Taking the square root of each side of (3) yields
(4) x-1 = +/- sqrt%283%29 or the roots of (1) are
(5) x = (1 + sqrt%283%29, 1 - sqrt%283%29) which gives the factors of (1) as
(6) x^2 -2x -2 = (x-1+sqrt%283%29)(x-1-sqrt%283%29)