Posted by Lynn on Tuesday, December 13, 2011 at 11:11am.
Remember that (a-b)^2 = a^2 - 2ab + b^2
So, if you have x^2 - 6x you need half of the 6 to complete the square:
x^2 - 6x + 9 - 9 + 3 = 0
(x-3)^2 - 6 = 0
(x-3)^2 = 6
So, you can see that
x-3 = ±√6
so,
x = 3 ± √6
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