Question 201201
{{{(x-2)^2=36}}} Start with the given equation.



{{{x-2=""+-sqrt(36)}}} Take the square root of both sides.



{{{x-2=sqrt(36)}}} or {{{x-2=-sqrt(36)}}} Break up the "plus/minus" to form two equations.



{{{x-2=6}}} or {{{x-2=-6}}}  Take the square root of {{{36}}} to get {{{6}}}.



{{{x=2+6}}} or {{{x=2-6}}} Add {{{2}}} to both sides.



{{{x=8}}} or {{{x=-4}}} Combine like terms.



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Answer:



So the solutions are {{{x=8}}} or {{{x=-4}}}.