a-b-c-gt-0-amp-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 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

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