Mn ơi làm giúp e mấy câu tự luận này với =(( e sắp thi giữa kì r :(
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Câu 2
\((1) MnO_2 + 4HCl \to MnCl_2 + Cl_2 + 2H_2O\\ (2) Cl_2 + H_2 \xrightarrow{as} 2HCl\\ (3) 3Cl_2 + 2Fe \xrightarrow{t^o} 2FeCl_3\\ (4) 2FeCl_3 + Fe \to 3FeCl_2\\ (5) 2NaOH + Cl_2 \to NaCl + NaClO + H_2O\)
\((1) 4Al + 3O_2 \xrightarrow{t^o} 2Al_2O_3\\ (2) 2Fe + 3Cl_2 \xrightarrow{t^o} 2FeCl_3\\ (3) C + O_2 \xrightarrow{t^o} CO_2\\ (4) 2KMnO_4 \xrightarrow{t^o} K_2MnO_4 + MnO_2 + O_2\\ (5) 4P + 5O_2 \xrightarrow{t^o} 2P_2O_5\\ (6) 2KClO_3 \xrightarrow{t^o} 2KCl + 3O_2\\ (7) Fe + H_2SO_4 \to FeSO_4 + H_2\\ (8) Cu + 2H_2SO_4 \to CuSO_4 + SO_2 + 2H_2O\\ (9) 2Fe + 6H_2SO_4 \to Fe_2(SO_4)_3 + 3SO_2 + 6H_2O\\ (10) 2Al + 6H_2SO_4 \to Al_2(SO_4)_3 + 3SO_2 + 6H_2O\)
ĐKXĐ: \(x\notin\left\{0;-9\right\}\)
Ta có: \(\dfrac{1}{x+9}-\dfrac{1}{x}=\dfrac{1}{5}+\dfrac{1}{4}\)
\(\Leftrightarrow\dfrac{20x}{20x\left(x+9\right)}-\dfrac{20\left(x+9\right)}{20x\left(x+9\right)}=\dfrac{4x\left(x+9\right)+5x\left(x+9\right)}{20x\left(x+9\right)}\)
Suy ra: \(4x^2+36x+5x^2+45x=20x-20x-180\)
\(\Leftrightarrow9x^2+81x+180=0\)
\(\Leftrightarrow x^2+9x+20=0\)
\(\Leftrightarrow x^2+4x+5x+20=0\)
\(\Leftrightarrow x\left(x+4\right)+5\left(x+4\right)=0\)
\(\Leftrightarrow\left(x+4\right)\left(x+5\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+4=0\\x+5=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-4\left(nhận\right)\\x=-5\left(nhận\right)\end{matrix}\right.\)
Vậy: S={-4;-5}
Hướng làm:
Thấy cả tử mẫu cộng lại đều bằng 2021 → Cộng thêm 1 rồi quy đồng với mỗi phân thức
\(\dfrac{x+2}{2019}+1+\dfrac{x+3}{2018}+1=\dfrac{x+4}{2017}+1+\dfrac{x}{2021}+1\\ \Leftrightarrow\dfrac{x+2021}{2019}+\dfrac{x+2021}{2018}-\dfrac{x+2021}{2017}-\dfrac{x+2021}{2021}=0\\ \Leftrightarrow\left(x+2021\right)\left(\dfrac{1}{2019}+\dfrac{1}{2018}-\dfrac{1}{2017}-\dfrac{1}{2021}\right)=0\\ \Leftrightarrow x+2021=0\Leftrightarrow x=-2021\)
\(< =>\dfrac{x+2}{2019}+1+\dfrac{x+3}{2018}+1=\dfrac{x+4}{2017}+1+\dfrac{x}{2021}+1\)
\(< =>\dfrac{x+2+2019}{2019}+\dfrac{x+3+2018}{2018}=\dfrac{x+4+2017}{2017}+\dfrac{x+2021}{2021}\)
\(< =>\dfrac{x+2021}{2019}+\dfrac{x+2021}{2018}-\dfrac{x+2021}{2017}-\dfrac{x+2021}{2021}=0\)
\(< =>\left(x+2021\right)\left(\dfrac{1}{2019}+\dfrac{1}{2018}-\dfrac{1}{2017}-\dfrac{1}{2021}=\right)=0\)
\(< =>x+2021=0< =>x=-2021\)
Vậy....
\(\frac{x+2}{2019}+\frac{x+3}{2018}=\frac{x+4}{2017}+\frac{x}{2021}\)
\(\Leftrightarrow\frac{x+2}{2019}+1+\frac{x+3}{2018}+1=\frac{x+4}{2017}+1+\frac{x}{2021}+1\)
\(\Leftrightarrow\frac{x+2021}{2019}+\frac{x+2021}{2018}=\frac{x+2021}{2017}+\frac{x+2021}{2021}\)
\(\Leftrightarrow x+2021=0\)
\(\Leftrightarrow x=-2021\)
x+2+2018x+3=2017x+4+2021x
\(\Leftrightarrow \frac{x + 2}{2019} + 1 + \frac{x + 3}{2018} + 1 = \frac{x + 4}{2017} + 1 + \frac{x}{2021} + 1\)
\(\Leftrightarrow \frac{x + 2021}{2019} + \frac{x + 2021}{2018} = \frac{x + 2021}{2017} + \frac{x + 2021}{2021}\)
\(\Leftrightarrow x + 2021 = 0\)
\(\Leftrightarrow x = - 2021\)
1. If I knew the answer, I would tell you
2.If they review them all hard.They will do the test well







Câu 1:
a: ĐKXĐ: x+3<>0
=>x<>-3
b: ĐKXĐ: \(\begin{cases}2-x\ge0\\ x+5\ge0\end{cases}\Rightarrow\begin{cases}x\le2\\ x\ge-5\end{cases}\)
=>-5<=x<=2
c: ĐKXĐ: 2-x>0 và x+2>=0
=>x<2 và x>=-2
=>-2<=x<2
Câu 3:
a: \(\frac{3x+1}{2}-\frac{x-2}{3}<\frac{1-2x}{4}\)
=>\(\frac{6\left(3x+1\right)}{12}-\frac{4\left(x-2\right)}{12}<\frac{3\left(1-2x\right)}{12}\)
=>6(3x+1)-4(x-2)<3(1-2x)
=>18x+6-4x+8<3-6x
=>14x+14<3-6x
=>20x<-11
=>x<-11/20
b: \(\left(x+1\right)\left(2x+2\right)-2\ge x^2+\left(x-1\right)\left(x+2\right)\)
=>\(2x^2+4x+2-2\ge x^2+x^2+x-2\)
=>4x>=x-2
=>3x>=-2
=>x>=-2/3
e: \(\begin{cases}x+3>7-2x\\ 4+4x>6x-1\end{cases}\Rightarrow\begin{cases}x+2x>7-3\\ 4x-6x>-1-4\end{cases}\)
=>\(\begin{cases}3x>4\\ -2x>-5\end{cases}\Rightarrow\begin{cases}x>\frac43\\ x<\frac52\end{cases}\)
=>4/3<x<5/2