Open study

is now brainly

With Brainly you can:

  • Get homework help from millions of students and moderators
  • Learn how to solve problems with step-by-step explanations
  • Share your knowledge and earn points by helping other students
  • Learn anywhere, anytime with the Brainly app!

A community for students.

For \( a, b, c > 0, abc =1\) show that \[ \frac{a}{b}+\frac{b}{c}+\frac{c}{a}\ge a+b+c \] No Lagrange multiplier allowed.

See more answers at
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly


Get your free account and access expert answers to this and thousands of other questions

\[a^2c+ab^2+bc^2\ge a+b+c\]
another form would be it. or \[ \frac{ab^2+bc^2+ca^2}{a+b+c} \ge 1\]

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

most likely this problem won't take more than AM-GM
i want to say the next step is reducing it to 2 variables but i dont want to think, good luck to the next person
here's extra nice problem
it took nearly week for me to figure out it's solution. try using this technique it will be lot shorter.

Not the answer you are looking for?

Search for more explanations.

Ask your own question