B=\(\frac{\sqrt{x^3}}{\sqrt{xy}-2y}-\frac{2x}{x+\sqrt{x}-2\sqrt{xy}-2\sqrt{y}}.\frac{1-x}{1-\sqrt{x}}\)
giúp với cần gấp lắm
Help me:
Giải phương trình:
\(x.\sqrt{y-1}+2y.\sqrt{x-1}=\frac{3}{2}xy\)
Giải pt
\(\sqrt{2x+\frac{2013-1}{\sqrt{2-x^2}}}-\sqrt[3]{2014-\frac{2013-1}{\sqrt{2-x^2}}}=\sqrt{x+2013}-\sqrt[3]{x+1}\)
giải hệ pt \(\begin{cases}x^2+y^2=1\\\sqrt[1999]{x}-\sqrt[1999]{y}=\left(\sqrt[2000]{y}-\sqrt[2000]{x}\right)\left(x+y+xy+2001\right)\end{cases}\)
Tim x,y,z :
1)\(\left(2\sqrt{x}-3\right).\left(2+\sqrt{x}\right)+6=0\)
2)\(\sqrt{x-1+2\sqrt{x-2}}+\sqrt{x-1-2\sqrt{x-2}}=0\)
3)\(\sqrt{x^2-4}-2\sqrt{x-2}=0\)
4)\(\sqrt{x}+\sqrt{y-1}+\sqrt{z-2}=\frac{1}{2}.\left(x+y+z\right)\)
5) xy =\(x\sqrt{y-1}+y\sqrt{x-1}\)
6)\(x\sqrt{y-1}+2y\sqrt{x-1}=\frac{3xy}{2}\)
Cho B=\(\left(\frac{\sqrt{x}+\sqrt{y}}{1-\sqrt{xy}}+\frac{\sqrt{x}-\sqrt{y}}{1+\sqrt{xy}}\right):\left(1=\frac{x+y+2xy}{1-xy}\right)\)
a) Rút gọn B
b) Tính B tại x=\(\frac{2}{2+\sqrt{3}}\)
c) Tìm GTLN của B
giải PT:
a, \(1-\sqrt{x-1}=\sqrt{x}-\frac{2}{3}\sqrt{x-x^2}\)
b, \(\sqrt{x+\sqrt{x^2-1}}=\frac{9\sqrt{2}}{4}\left(x-1\right)\sqrt{x-1}\)
help me !!!!!!
*cho BT :
A=((\(\frac{1}{\sqrt{x}}\)+\(\frac{1}{\sqrt{y}}\))x\(\frac{2}{\sqrt{x}+\sqrt{y}}\)+ \(\frac{1}{x}\)+\(\frac{1}{y}\)):\(\frac{\sqrt{x^3}+y\sqrt{x}+x\sqrt{y}+\sqrt{y^3}}{\sqrt{x^3y}+\sqrt{xy^3}}\)
cho biểu thức A = \(\text{[}\sqrt{x}+\frac{y-\sqrt{xy}}{\sqrt{x+\sqrt{y}}}\text{]}:\text{[}\frac{x}{\sqrt{xy}+y}+\frac{y}{\sqrt{xy}-x}-\frac{x+y}{\sqrt{xy}}\text{]}\)
a, Rút gọn A
b, Tính giá trj B khi x=3 , y=4+2\(\sqrt{3}\)
