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\(P=\left(\dfrac{x\sqrt{x}-1}{x-\sqrt{x}}-\dfrac{x\sqrt{x}+1}{x+\sqrt{x}}\right):\left(\dfrac{2\left(x-2\sqrt{x}+1\right)}{x-1}\right)\left(x>0,x\ne1\right)\)
\(=\left(\dfrac{\left(\sqrt{x}-1\right)\left(x+\sqrt{x}+1\right)}{\sqrt{x}\left(\sqrt{x}-1\right)}-\dfrac{\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1\right)}{\sqrt{x}\left(\sqrt{x}+1\right)}\right):\left(\dfrac{2\left(\sqrt{x}-1\right)^2}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}\right)\)
\(=\left(\dfrac{x+\sqrt{x}+1}{\sqrt{x}}-\dfrac{x-\sqrt{x}+1}{\sqrt{x}}\right):\dfrac{2\left(\sqrt{x}-1\right)}{\sqrt{x}+1}\)
\(=\dfrac{2\sqrt{x}}{\sqrt{x}}:\dfrac{2\left(\sqrt{x}-1\right)}{\sqrt{x}+1}=2.\dfrac{\sqrt{x}+1}{2\left(\sqrt{x}-1\right)}=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}\)
b) \(P=\dfrac{\sqrt{x}+1}{\sqrt{x}-1}=1+\dfrac{2}{\sqrt{x}-1}\)
Để \(P\in Z\Rightarrow2⋮\sqrt{x}-1\Rightarrow\sqrt{x}-1\in\left\{1;2;-1;-2\right\}\)
\(\Rightarrow\sqrt{x}\in\left\{2;3;0\right\}\Rightarrow x\in\left\{4;9;0\right\}\)
\(n_{Fe_3O_4}=\dfrac{8}{232}=\dfrac{1}{29}\left(mol\right)\)
\(Fe_3O_4+8HCl\rightarrow FeCl_2+2FeCl_3+4H_2O\)
\(\dfrac{1}{29}.......\dfrac{8}{29}................\dfrac{2}{29}\)
\(m_{HCl}=\dfrac{8}{29}\cdot36.5=10.06\left(g\right)\)
\(m_{FeCl_3}=\dfrac{2}{29}\cdot162.5=11.21\left(g\right)\)
1simple
2. early
3. duties
4. brush
5. health
6. physical
7. field
8. puren
9. refreshed
10. prayer
1. country 2.rooms 3.bedrooms 4.chairs 5.television 6.bookshelf 7.cool 8.are 9.s
câu 9 là s nha