Menu Close

Give-a-b-c-gt-0-such-that-ab-bc-ca-abc-Prove-that-a-b-c-4-a-bc-b-ca-c-ab-5-




Question Number 213607 by tri26112004 last updated on 10/Nov/24
Give a,b,c > 0 such that  ab+bc+ca=abc  Prove that :  a+b+c≥4((a/(bc))+(b/(ca))+(c/(ab)))+5
$${Give}\:{a},{b},{c}\:>\:\mathrm{0}\:{such}\:{that} \\ $$$${ab}+{bc}+{ca}={abc} \\ $$$${Prove}\:{that}\:: \\ $$$${a}+{b}+{c}\geqslant\mathrm{4}\left(\frac{{a}}{{bc}}+\frac{{b}}{{ca}}+\frac{{c}}{{ab}}\right)+\mathrm{5} \\ $$

Leave a Reply

Your email address will not be published. Required fields are marked *