HKTST 2016

For discussing Olympiad Level Algebra (and Inequality) problems
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Atonu Roy Chowdhury
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Location: Chittagong, Bangladesh

HKTST 2016

Unread post by Atonu Roy Chowdhury » Thu Mar 23, 2017 11:49 pm

Let $a,b,c$ be positive real numbers satisfying $abc=1$. Determine the smallest possible value of

$$\frac{a^3+8}{a^3(b+c)}+\frac{b^3+8}{b^3(a+c)}+\frac{c^3+8}{c^3(b+a)}$$
This was freedom. Losing all hope was freedom.

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Zawadx
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Joined: Fri Dec 28, 2012 8:35 pm

Re: HKTST 2016

Unread post by Zawadx » Mon Mar 27, 2017 9:16 pm

Atonu Roy Chowdhury wrote:Just substitute $x = 1/a$, $y = 1/b$ and $z = 1/c$.
The rest is so cool.

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