if x,y,z are positive numbers ,prove that x^2/y^2+y^2/z^2+z^2/x^2 = x/y+y/z+z/x

Question

if x,y,z are positive numbers ,prove that x^2/y^2+y^2/z^2+z^2/x^2 >= x/y+y/z+z/x

Aman Bansal · Answer

Daer Ayushi,

Using the relation AM < GM we can prove the above expression.

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Thanks

Aman Bansal

Askiitian Expert

Ayushi Agrawal · Answer

thanxxxxx.....................

may i also know about

the type of questions ask in regional mathwmatics olympiad

actually i came to know that their is a book especially for it>??is it so or/????

i solved last years rmo papers

..............

i wanted to know about

the priority of certain topics and books

James Macmillan · Answer

THE SYLLABUS OF REGIONAL MATHS OLYMPIAD

Number Theory

Algebra of polynomials and inequalities.

Combinatorics

Geometry

Functional equations

This olympiad has got some different books which don''t have any connection with IIT, AIEEE or any other engineereing exams. The exam has subjective type questions. ARIHANT publisher has a seperate book for olympiad

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if x,y,z are positive numbers ,prove that x^2/y^2+y^2/z^2+z^2/x^2 >= x/y+y/z+z/x

if x,y,z are positive numbers ,prove that x^2/y^2+y^2/z^2+z^2/x^2 >= x/y+y/z+z/x

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