How do you factor x^2-6x+1=0

How do you factor x^2-6x+1=0
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1 Answer

It does not factorise rationally, but you can find x by completing the square:

x^2-6x=-1; x^2-6x+9=8; (x-3)^2=8; x-3=+sqrt(8)=+2sqrt(2). x=3+2sqrt(2).

Therefore the factors are: (x-3-2sqrt(2))(x-3+2sqrt(2)). 

by Top Rated User (1.2m points)

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