Question 394791


{{{(x-1)^2=16}}} Start with the given equation.



{{{x-1=""+-sqrt(16)}}} Take the square root of both sides.



{{{x-1=sqrt(16)}}} or {{{x-1=-sqrt(16)}}} Break up the "plus/minus" to form two equations.



{{{x-1=4}}} or {{{x-1=-4}}}  Take the square root of {{{16}}} to get {{{4}}}.



{{{x=1+4}}} or {{{x=1-4}}} Add {{{1}}} to both sides.



{{{x=5}}} or {{{x=-3}}} Combine like terms.



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Answer:



So the solutions are {{{x=5}}} or {{{x=-3}}}.



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