Giả sử $$x,y,z$$ là các số thực dương thỏa mãn $$x+y+z=1$$. Chứng minh rằng: $$frac{(1+xy+yz+zx)(1+3x^3+3y^3+3z^3)}{9(x+y)(y+z) (z+x)}$$ $$geq (frac{xsqrt{x+1}}{sqrt[4]{3+9x^2}}+frac{ysqrt{y+1}}{sqrt[4]{3+9y^2}}+frac{zsqrt{z+1}}{sqrt[4]{3+9z^2}})$$...
Chứng minh rằng: $$frac{(1+xy+yz+zx)(1+3x^3+3y^3+3z^3)}{9(x+y)(y+z) (z+x)}$$
Started By Hung Duc, 10-10-2014 - 12:21
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Posted 10-10-2014 - 12:21
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