Question 235302


{{{(x-4)^2=36}}} Start with the given equation.



{{{x-4=""+-sqrt(36)}}} Take the square root of both sides.



{{{x-4=sqrt(36)}}} or {{{x-4=-sqrt(36)}}} Break up the "plus/minus" to form two equations.



{{{x-4=6}}} or {{{x-4=-6}}}  Take the square root of {{{36}}} to get {{{6}}}.



{{{x=4+6}}} or {{{x=4-6}}} Add {{{4}}} to both sides.



{{{x=10}}} or {{{x=-2}}} Combine like terms.



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Answer:



So the solutions are {{{x=10}}} or {{{x=-2}}}.