a,b,c>0 & (1/a)+(1/b)+(1/c)=3 prove that (a/(b^2 +c^2 ))+(b/(a^2 +c^2 ))+(c/(a^2 +b^2 ))≥(3/2)(((a+b+c)/(ab+bc+ac)))^2


Question and Answers Forum

All Questions Topic List
None Questions
Previous in All Question Next in All Question
Previous in None Next in None
Question Number 195118 by York12 last updated on 25/Jul/23

$a, b, c > 0 & \frac{1}{a} + \frac{1}{b} + \frac{1}{c} = 3$ $p r o v e t h a t$ $\frac{a}{b^{2} + c^{2}} + \frac{b}{a^{2} + c^{2}} + \frac{c}{a^{2} + b^{2}} ⩾ \frac{3}{2} {(\frac{a + b + c}{a b + b c + a c})}^{2}$
Commented by York12 last updated on 25/Jul/23

$W i t c h e r 3$ $w h y d i d y o u d e l e l t t h e s o l u t i o n$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum