Question 379455


{{{(x-10)^2=20}}} Start with the given equation.



{{{x-10=""+-sqrt(20)}}} Take the square root of both sides.



{{{x-10=sqrt(20)}}} or {{{x-10=-sqrt(20)}}} Break up the "plus/minus" to form two equations.



{{{x-10=2*sqrt(5)}}} or {{{x-10=-2*sqrt(5)}}}  Simplify the square root.



{{{x=10+2*sqrt(5)}}} or {{{x=10-2*sqrt(5)}}} Add {{{10}}} to both sides.



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Answer:



So the solutions are {{{x=10+2*sqrt(5)}}} or {{{x=10-2*sqrt(5)}}}.



Which approximate to {{{x=14.472}}} or {{{x=5.528}}}



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