Spam

Cho m,n là tham số. $ a,b,c >0 $ . CHứng minh


$ \frac{a}{mb+nc}+\frac{b}{mc+na} +\frac{c}{ma+nb} \geq 3(m+n)$

Cho $ a^2+b^2+c^2 =1 $ , $ a,b,c >0 $ . chứng minh


$$\frac{a}{b^2+c^2} + \frac{b}{a^2+c^2}+ \frac{c}{a^2+b^2} \geq \frac{3\sqrt{3}}{2}$$

1/ .$ x+\sqrt{4-x^2}=2+3x\sqrt{4-x^2} $

2/ $ (4x-1)\sqrt{x^2+1}=2x^2+2x+1 $

3/ $ 2(x-1)\sqrt{x^2+2x-1}=x^2-2x-1 $

1/$\left\{\begin{matrix}
x^2+xy+2=3x+y & \\ x^2+y^2=2
&
\end{matrix}\right.$

2/$\left\{\begin{matrix}
x^2+x-xy-2y^2-2y=0 & \\ x^2+y^2=1
&
\end{matrix}\right.$

3/$\left\{\begin{matrix}
6x^2-3xy+x=1-y & \\ x^2+y^2=1
&
\end{matrix}\right.$