Question 315574


{{{(u-5)^2-16=0}}} Start with the given equation.



{{{(u-5)^2=0+16}}}Add {{{16}}} to both sides.



{{{(u-5)^2=16}}} Combine like terms.



{{{x-5=""+-sqrt(16)}}} Take the square root of both sides.



{{{u-5=sqrt(16)}}} or {{{u-5=-sqrt(16)}}} Break up the "plus/minus" to form two equations.



{{{u-5=4}}} or {{{u-5=-4}}}  Take the square root of {{{16}}} to get {{{4}}}.



{{{u=5+4}}} or {{{u=5-4}}} Add {{{5}}} to both sides.



{{{u=9}}} or {{{u=1}}} Combine like terms.



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Answer:



So the solutions are {{{u=9}}} or {{{u=1}}}.