Question 655468
{{{(x-22)^2=27}}} Start with the given equation.



{{{x-22=""+-sqrt(27)}}} Take the square root of both sides.



{{{x-22=sqrt(27)}}} or {{{x-22=-sqrt(27)}}} Break up the "plus/minus" to form two equations.



{{{x-22=3*sqrt(3)}}} or {{{x-22=-3*sqrt(3)}}}  Simplify the square root.



{{{x=22+3*sqrt(3)}}} or {{{x=22-3*sqrt(3)}}} Add {{{22}}} to both sides.



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Answer:



So the solutions are {{{x=22+3*sqrt(3)}}} or {{{x=22-3*sqrt(3)}}}.