[Proposed, niv 2] jolie !


  • Math&Maroc

    Soient a,b,ca,b,c des réels strictement positifs. Montrer que :
    (aba+b+bcb+c+cac+a)×(ba+bb+cb+cc+ac+aa)(a+b+c)2.\left(a\cdot \sqrt{\dfrac{b}{a+b}}+b\cdot \sqrt{\dfrac{c}{b+c}}+c\cdot \sqrt{\dfrac{a}{c+a}}\right)\times\left(b\cdot\sqrt{\dfrac{a+b}{b}}+c\cdot\sqrt{\dfrac{b+c}{c}}+a\cdot\sqrt{\dfrac{c+a}{a}}\right)\leq (a+b+c)^2 .



  • 0_1482522421458_N2.jpg
    Ma proposition


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