Question 193935
{{{(x-3)^2=20}}} Start with the given equation.



{{{x-3=""+-sqrt(20)}}} Take the square root of both sides.



{{{x-3=sqrt(20)}}} or {{{x-3=-sqrt(20)}}} Break up the "plus/minus" to form two equations.



{{{x-3=2*sqrt(5)}}} or {{{x-3=-2*sqrt(5)}}}  Simplify the square root.



{{{x=3+2*sqrt(5)}}} or {{{x=3-2*sqrt(5)}}} Add {{{3}}} to both sides.



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Answer:



So the solutions are {{{x=3+2*sqrt(5)}}} or {{{x=3-2*sqrt(5)}}}.