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• 7 For $\Delta ABC$ right-angled triangle at $A$ have $AB=AC$. Calculate the ratio of $MA: MB: MC$
• 5 Find the number of ordered triplets satisfying $5\left(x+\frac{1}{x}\right)=12\left(y+\frac{1}{y}\right)=13\left(z+\frac{1}{z}\right)$
• 5 For $x,y,z>0$. Minimize $P=\frac{1}{4x^{2}-yz+2}+\frac{1}{4y^{2}-zx+2}+\frac{1}{4z^{2}-xy+2}$
• 5 Prove inequality $a<1<b<3<c<4$
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