Question 538060
solve by taking square roots.

9n^2+3=228


{{{9n^2 + 3 = 228}}}


{{{9n^2  = 225}}} ---- Subtracting 3 from both sides


{{{n^2 = 225/9}}} ------ Dividing by 9


{{{n^2 = 25}}}


{{{sqrt(n^2) = sqrt(25)}}} ----- Taking square root of both sides


n = {{{highlight_green(5)}}}


OR


{{{9n^2 + 3 = 228}}}


{{{9n^2  = 225}}} ---- Subtracting 3 from both sides


{{{sqrt(9n^2) = sqrt(225)}}} ----- Taking square root of both sides


3n = 15


n = {{{15/3}}}, or {{{highlight_green(5)}}}


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