Everything that kills me makes me feel alive

Algebra Level 4

∑ cyc { a , b , c } ( a b ) + 3 k a b c 3 ∑ cyc a ≥ 5 \large\sum_{\text{cyc}\{a,b,c\}}\left( \dfrac{a}{b}\right) + \dfrac{3k\sqrt[3]{abc}}{\displaystyle\sum_{\text{cyc}} a} \geq 5

If a , b a,b and c c are positive numbers such that equation above is true, find the value of k k .


The answer is 2.

View wiki
Nihar Mahajan by Nihar Mahajan , 20, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Just substitute a=b=c=1 (as given that they are positive integers) and u get k>=2 :)

2 Helpful 0 Interesting 0 Brilliant 0 Confused

They are positive numbers, not positive integers.

Rakhi Bhattacharyya - 4 years, 9 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...