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algebra

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which method do you use to solve this equation.(x-1)^2=7.
Is it the factoring method or the sqare root method

I would take the square root of each side.

(x-1)= +- sqrt7

Now for the factoring method:

(x-1)^2=7
(x-1)^2-7=0
you have a difference of two squares..
((x-1) +sqrt7)((x- 1) -sqrt7)=0

so either term can equal zero. Same answer as above.

Is the answer considered x=1+ or - square root 7 or just root7

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