Question 330436

{{{(x-6)^2=20}}} Start with the given equation.



{{{x-6=""+-sqrt(20)}}} Take the square root of both sides.



{{{x-6=sqrt(20)}}} or {{{x-6=-sqrt(20)}}} Break up the "plus/minus" to form two equations.



{{{x-6=2*sqrt(5)}}} or {{{x-6=-2*sqrt(5)}}}  Simplify the square root.



{{{x=6+2*sqrt(5)}}} or {{{x=6-2*sqrt(5)}}} Add {{{6}}} to both sides.



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Answer:



So the solutions are {{{x=6+2*sqrt(5)}}} or {{{x=6-2*sqrt(5)}}}.




and they approximate to {{{x=10.472}}} or {{{x=1.528}}}