How do you solve #(x-1)^2=7# by factoring?
I defer to George C. for the correct answer.
Rearrange as a difference of squares, then use the difference of squares identity to provide the factoring, hence the roots.
To solve this by factoring, first subtract
Now the left hand side is a difference of squares, so we can use the differences of squares identity
So our original equation becomes:
which has roots: