Câu 2

\((1) MnO_2 + 4HCl \to MnCl_2 + Cl_2 + 2H_2O\\ (2) Cl_2 + H_2 \xrightarrow{as} 2HCl\\ (3) 3Cl_2 + 2Fe \xrightarrow{t^o} 2FeCl_3\\ (4) 2FeCl_3 + Fe \to 3FeCl_2\\ (5) 2NaOH + Cl_2 \to NaCl + NaClO + H_2O\)

\((1) 4Al + 3O_2 \xrightarrow{t^o} 2Al_2O_3\\ (2) 2Fe + 3Cl_2 \xrightarrow{t^o} 2FeCl_3\\ (3) C + O_2 \xrightarrow{t^o} CO_2\\ (4) 2KMnO_4 \xrightarrow{t^o} K_2MnO_4 + MnO_2 + O_2\\ (5) 4P + 5O_2 \xrightarrow{t^o} 2P_2O_5\\ (6) 2KClO_3 \xrightarrow{t^o} 2KCl + 3O_2\\ (7) Fe + H_2SO_4 \to FeSO_4 + H_2\\ (8) Cu + 2H_2SO_4 \to CuSO_4 + SO_2 + 2H_2O\\ (9) 2Fe + 6H_2SO_4 \to Fe_2(SO_4)_3 + 3SO_2 + 6H_2O\\ (10) 2Al + 6H_2SO_4 \to Al_2(SO_4)_3 + 3SO_2 + 6H_2O\)

\(=8\cdot25-72:9=200-8=192\)

= 8 . 25 - 72 : 9

= 200 - 8

= 192

2^3.25-72:3^2

=8.25-72:9

=192

cái này áp dụng hệ thức lượng thôi bạn

AH=căn 6^2-4,8^2=3,6cm

=>AC=6^2/3,6=10cm

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

\(\Leftrightarrow4-x^2=\left(2-x\right)^2\)

\(\Leftrightarrow4-x^2=4-8x+x^2\)

\(\Leftrightarrow4-x^2-4+8x-x^2=0\)

\(\Leftrightarrow8x-2x^2=0\)

\(\Leftrightarrow2x\left(4-x\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}2x=0\\4-x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=4\end{matrix}\right.\)

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

\(\Leftrightarrow1-x^2=\left(1-x\right)^2\)

\(\Leftrightarrow1-x^2=1-2x+x^2\)

\(\Leftrightarrow1-x^2-1+2x-x^2=0\)

\(\Leftrightarrow2x-2x^2=0\)

\(\Leftrightarrow2x\left(1-x\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}2x=0\\1-x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)

a: ĐKXĐ: a>0; a<>1

\(A=\left(\sqrt{a}-\dfrac{1}{\sqrt{a}}\right)\cdot\dfrac{a}{\sqrt{a}+1}=\dfrac{a-1}{\sqrt{a}}\cdot\dfrac{a}{\sqrt{a}+1}\)

\(=\sqrt{a}\left(\sqrt{a}-1\right)=a-\sqrt{a}\)

b: A=a-căn a+1/4-1/4

=(căn a-1/2)^2-1/4>=-1/4

Dấu = xảy ra khi a=1/4