Hello , find reels $\displaystyle a,b,c$ such that : $\displaystyle \Large\ a^2 + b^2 + c^2 + 3 \leq ab + 3b + 2c$
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Originally Posted by linda2005 Hello , find reels $\displaystyle a,b,c$ such that : $\displaystyle \Large\ a^2 + b^2 + c^2 + 3 \leq ab + 3b + 2c$ That's "real", not "reel". What's wrong with a= b= c= 1?
Completing the square a few times, you can write this inequality as $\displaystyle (a-\tfrac12b)^2 + \tfrac34(b-2)^2 + (c-1)^2 \leqslant1$, from which you can easily find solutions.
hello, thanks Opalg you can give me your solution?
Originally Posted by linda2005 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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