1)
a) gpt \(\sqrt{5-3x}+\sqrt{x+1}=\sqrt{3x^2-4x+4}\)
b) ghpt \(\left\{{}\begin{matrix}2xy+4x+3y+6=0\\4x^2+y^2+12x+4y+9=0\end{matrix}\right.\)
giải hệ sau
\(\left\{{}\begin{matrix}4x^2=\left(\sqrt{x^2+1}+1\right)\left(x^2-y^3+3y-2\right)\\\left(x^2+y^2\right)^2+1=x^2+2y\end{matrix}\right.\)
Giải hệ phương trình; \(\left\{{}\begin{matrix}2\sqrt{x}+\sqrt{y}=3\\3x^4+\left(x-y\right)^2=6x^3y+y^2\end{matrix}\right.\)
1.Rút gọn: A= \(\left(\frac{1}{\sqrt{x}-\sqrt{x-1}}-\frac{x-3}{\sqrt{x-1}-\sqrt{2}}\right)\left(\frac{2}{\sqrt{2}-\sqrt{x}}-\frac{\sqrt{x}+\sqrt{2}}{\sqrt{2x}-x}\right)\)
2.Giải phương trình
a) \(2\sqrt{x^2-4}-3=6\sqrt{x-2}-\sqrt{x+2}\)
b) \(\left\{{}\begin{matrix}\sqrt{x+3y}+\sqrt{x+y}=2\\\sqrt{x+y}+y-x=1\end{matrix}\right.\)
gấp lắm, ai giúp với
1. Rút gọn
\(\dfrac{1}{\sqrt{5}-1}-\dfrac{4}{\sqrt{5}+1}\)
2. Giải hpt :
\(\left\{{}\begin{matrix}2x+3y=5\\3x+y=4\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\sqrt{2x-y-1}+\sqrt{3y+1}=\sqrt{x}+\sqrt{x+2y}\\x^3-3x+2=2y^3-y^2\end{matrix}\right.\)
ghpt
1) \(\left\{{}\begin{matrix}3\left(2-x\right)\sqrt{2-y^2}=2-y+\dfrac{4}{x+1}\\\left(x^2+xy-x+y-2\right)\sqrt{2-y^2}+2=x+y\end{matrix}\right.\)
giải hệ phương trình sau
\(\left\{{}\begin{matrix}2-\sqrt{x^2y^4+2xy^2-y^4+1}=2\left(3-\sqrt{2}-x\right)y^2\\\sqrt{x-y^2}+x=3\end{matrix}\right.\)
Giải hệ phương trình:
\(\left\{{}\begin{matrix}\sqrt{x+y}+\sqrt{x-y}=2\sqrt{y}\\x\sqrt{2y}-y\sqrt{x-1}=2x-2y\end{matrix}\right.\)
