Question 334554


{{{(4n-1)^2=16}}} Start with the given equation.



{{{4x-1=""+-sqrt(16)}}} Take the square root of both sides.



{{{4n-1=sqrt(16)}}} or {{{4n-1=-sqrt(16)}}} Break up the "plus/minus" to form two equations.



{{{4n-1=4}}} or {{{4n-1=-4}}}  Take the square root of {{{16}}} to get {{{4}}}.



{{{4n=1+4}}} or {{{4n=1-4}}} Add {{{1}}} to both sides.



{{{4n=5}}} or {{{4n=-3}}} Combine like terms.



{{{n=5/4}}} or {{{n=-3/4}}} Divide both sides by {{{4}}} to isolate {{{n}}}.



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Answer:



So the solutions are {{{n=5/4}}} or {{{n=-3/4}}}.