Question 397839


{{{(x-1)^2=6}}} Start with the given equation.



{{{x-1=""+-sqrt(6)}}} Take the square root of both sides (don't forget about the plus/minus).



{{{x-1=sqrt(6)}}} or {{{x-1=-sqrt(6)}}} Break up the "plus/minus" to form two equations.



{{{x=1+sqrt(6)}}} or {{{x=1-sqrt(6)}}} Add {{{1}}} to both sides.



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Answer:



So the solutions are {{{x=1+sqrt(6)}}} or {{{x=1-sqrt(6)}}}.