Prove the following inequality

  • Thread starter evagelos
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  • #1
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Homework Statement



prove the following inequality:

Homework Equations



[tex]\frac{a^4+b^4+c^4}{a^2b^2+a^2c^2+b^2c^2}\geq\frac{2u+3\lambda}{3(u+\lambda)}[/tex]

for all the reals a,b,c different from zero and for all the natural u,λ

The Attempt at a Solution



induction i think in this case will make things worst
 

Answers and Replies

  • #2
tiny-tim
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hi evagelos! :smile:

(try using the X2 tag just above the Reply box :wink:)

hint: subtract a constant from the lhs :wink:
 
  • #3
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Sorry tiny-tim i don't get what you mean .What constant must i subtract from the l.h.s.
 
  • #4
tiny-tim
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that's for you to find out! :wink:
 
  • #5
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you cannot subtract a constant, only, from the left hand side because then you change the inequality
 
  • #6
tiny-tim
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ok, then subtract it from both sides :smile:
 

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