Question 317814


{{{(x-5)^2=11}}} Start with the given equation.



{{{x-5=""+-sqrt(11)}}} Take the square root of both sides.



{{{x-5=sqrt(11)}}} or {{{x-5=-sqrt(11)}}} Break up the "plus/minus" to form two equations.



{{{x-5=sqrt(11)}}} or {{{x-5=-sqrt(11)}}}  Simplify the square root.



{{{x=5+sqrt(11)}}} or {{{x=5-sqrt(11)}}} Add {{{5}}} to both sides.



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Answer:



So the solutions are {{{x=5+sqrt(11)}}} or {{{x=5-sqrt(11)}}}.