Question 184449


{{{(x+8)^2=81}}} Start with the given equation.



{{{x+8=0+-sqrt(81)}}} Take the square root of both sides.



{{{x+8=sqrt(81)}}} or {{{x+8=-sqrt(81)}}} Break up the "plus/minus" to form two equations.



{{{x+8=9}}} or {{{x+8=-9}}}  Take the square root of {{{81}}} to get {{{9}}}.



{{{x=-8+9}}} or {{{x=-8-9}}} Subtract {{{8}}} from both sides.



{{{x=1}}} or {{{x=-17}}} Combine like terms.



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Answer:



So the solutions are {{{x=1}}} or {{{x=-17}}}.