Question 481569


{{{(x-6)^2=49}}} Start with the given equation.



{{{x-6=""+-sqrt(49)}}} Take the square root of both sides.



{{{x-6=sqrt(49)}}} or {{{x-6=-sqrt(49)}}} Break up the "plus/minus" to form two equations.



{{{x-6=7}}} or {{{x-6=-7}}}  Take the square root of {{{49}}} to get {{{7}}}.



{{{x=6+7}}} or {{{x=6-7}}} Add {{{6}}} to both sides.



{{{x=13}}} or {{{x=-1}}} Combine like terms.



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Answer:



So the solutions are {{{x=13}}} or {{{x=-1}}}.