ĐK:...$(1)\Leftrightarrow (1-y)(\sqrt{x-y}-1)+(x-y-1)=(x-y-1)\sqrt{y}$$\Leftrightarrow (x-y-1)(\frac{1-y}{\sqrt{x-y}+1}+1-\sqrt{y})=0$$\Leftrightarrow (x-y-1)(1-y)(\frac{1}{\sqrt{x-y}+1}+\frac{1}{\sqrt{y}+1})=0$$\Leftrightarrow x=y+1 or y=1$(do(...)>0)*)$y=1$:(2)tt:$9-3x=0\Leftrightarrow x=3$*)$x=y+1$(2)tt:$2y^{2}+3y-2=\sqrt{1-y}$$\Leftrightarrow 2(y^{2}+y-1)=\sqrt{1-y}-y$$\Leftrightarrow(y^{2}+y-1)(\frac{1}{\sqrt{1-y}+y}+2)=0$$\Leftrightarrow y^{2}+y-1=0 \Leftrightarrow y=\frac{-1+\sqrt{5}}{2}$(t/m đk)$\Rightarrow x=\frac{1+\sqrt{5}}{2}$KL:....
ĐK:...$(1)\Leftrightarrow (1-y)(\sqrt{x-y}-1)+(x-y-1)=(x-y-1)\sqrt{y}$$\Leftrightarrow (x-y-1)(\frac{1-y}{\sqrt{x-y}+1}+1-\sqrt{y})=0$$\Leftrightarrow (x-y-1)(1-y)(\frac{1}{\sqrt{x-y}+1}+\frac{1}{\sqrt{y}+1})=0$$\Leftrightarrow x=y+1 or y=1$(do(...)>0)*)$y=1$:(2)tt:$9-3x=0\Leftrightarrow x=3$*)$x=y+1$(2)tt:$2y^{2}+3y-2=\sqrt{1-y}$$\Leftrightarrow 2(y^{2}+y-1)=\sqrt{1-y}-y$$\Leftrightarrow(y^{2}+y-1)(\frac{1}{\sqrt{1-y}+y}+2)=0$$\Leftrightarrow y^{2}+y-1=0 \Leftrightarrow y=\frac{-1+\sqrt{5}}{2}$(t/m đk)$\Rightarrow x=\frac{1+\sqrt{5}}{2}$
ĐK:...$(1)\Leftrightarrow (1-y)(\sqrt{x-y}-1)+(x-y-1)=(x-y-1)\sqrt{y}$$\Leftrightarrow (x-y-1)(\frac{1-y}{\sqrt{x-y}+1}+1-\sqrt{y})=0$$\Leftrightarrow (x-y-1)(1-y)(\frac{1}{\sqrt{x-y}+1}+\frac{1}{\sqrt{y}+1})=0$$\Leftrightarrow x=y+1 or y=1$(do(...)>0)*)$y=1$:(2)tt:$9-3x=0\Leftrightarrow x=3$*)$x=y+1$(2)tt:$2y^{2}+3y-2=\sqrt{1-y}$$\Leftrightarrow 2(y^{2}+y-1)=\sqrt{1-y}-y$$\Leftrightarrow(y^{2}+y-1)(\frac{1}{\sqrt{1-y}+y}+2)=0$$\Leftrightarrow y^{2}+y-1=0 \Leftrightarrow y=\frac{-1+\sqrt{5}}{2}$(t/m đk)$\Rightarrow x=\frac{1+\sqrt{5}}{2}$
KL:....