Simple Inequality 1

Algebra Level 4

Given that a,b,ca,b,c are non-negative real numbers satisfying abc=2abc=2, then a(b2+1b)+b(c2+1c)+c(a2+1a)ka\left(b^2+\dfrac{1}{b}\right)+b\left(c^2+\dfrac{1}{c}\right)+c\left(a^2+\dfrac{1}{a}\right)\ge k for some integer kk. What is kk?

×

Problem Loading...

Note Loading...

Set Loading...