SOLUTION: (6n-5)^(1/3)+3=-2

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Question 113495This question is from textbook Algebra 2
: (6n-5)^(1/3)+3=-2 This question is from textbook Algebra 2

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%286n-5%29%5E%281%2F3%29%2B3=-2
%286n-5%29%5E%281%2F3%29%2B3-3=-2-3
%286n-5%29%5E%281%2F3%29=-5
6n-5=-5%5E3
6n-5=-125
6n-5%2B5=-125%2B5
6n=-120
n=-20
Check your answer
%286n-5%29%5E%281%2F3%29%2B3=-2
%286%28-20%29-5%29%5E%281%2F3%29%2B3=-2
%28-120-5%29%5E%281%2F3%29%2B3=-2
%28-125%29%5E%281%2F3%29%2B3=-2
-5%2B3=-2
-2=-2
True statment.
Good answer.