Chưa có bài trả lời

[manhtadt 01]

1. Cho xy+yz+zx =1. Tìm GTNN P= 12y² + 22z²+ 13x²

2. Cho $a;b;c\geq 0.CMR:4(\sqrt{a^{3}b^{3}}+\sqrt{b^{3}c^{3}}+\sqrt{c^{3}a^{3}})\leq 4c^{3}+(a+b)^{3}$

3. Cho x,y,z>0 TM $\sqrt{x}+\sqrt{y}+\sqrt{z}\geq 3\sqrt{2}.CM: \sum \sqrt[3]{a^{2}+\frac{1}{b^{2}}}\geq 3\sqrt[3]{\frac{17}{4}}$

4. Cho x,y TM $x^{2}+2xy+y^{2}=1$ . Tìm Min,Max $P=x^{4}+y^{4}+(x+y)^{4}$

5. Cho $x+y+z=4;x^{2}+y^{2}+z^{2}=6$. Tìm Min,Max  $P=x^{3}+y^{3}+z^{3}$