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Math Help - find reel

  1. #1
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    find reel

    Hello ,

    find reels a,b,c such that :

    \Large\ a^2 + b^2 + c^2 + 3 \leq ab + 3b + 2c
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  2. #2
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    Quote Originally Posted by linda2005 View Post
    Hello ,

    find reels a,b,c such that :

    \Large\ a^2 + b^2 + c^2 + 3 \leq ab + 3b + 2c
    That's "real", not "reel". What's wrong with a= b= c= 1?
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  3. #3
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    Completing the square a few times, you can write this inequality as (a-\tfrac12b)^2 + \tfrac34(b-2)^2 + (c-1)^2 \leqslant1, from which you can easily find solutions.
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  4. #4
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    hello,

    thanks Opalg you can give me your solution?

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  5. #5
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    Quote Originally Posted by linda2005 View Post
    hello,

    thanks Opalg you can give me your solution?
    The whole point of opalg's post is for you to attempt a solution.

    Post your attempt and where you get stuck (if in fact you do get stuck).
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