Given that $5a+2b+3c=10$, What is the minimum value of $a^2+b^2+c^2$?
The question is ,
Given that $$5a+2b+3c=10$$ What is the minimum value of $$a^2+b^2+c^2$$?
I know that I have to use AM-GM inequality somehow but I have no idea how
to use it for this problem. Help would be much appreciated.
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