trên a dưới m 

ảo thuật đấy

Bài 10:

Gọi số hs 7A,7B,7C lần lượt là a,b,c(hs;a,b,c∈N*)

Áp dụng tc dtsbn:

\(\dfrac{a}{10}=\dfrac{b}{9}=\dfrac{c}{8}=\dfrac{a+b-c}{10+9-8}=\dfrac{22}{11}=2\\ \Rightarrow\left\{{}\begin{matrix}a=20\\b=18\\c=16\end{matrix}\right.\)

Vây ...

Bài 8:

Gọi số lương khô là a, số thùng mì là b (a,b>0)

Ta có \(\dfrac{a}{b}=0,6=\dfrac{3}{5}\Rightarrow\dfrac{a}{3}=\dfrac{b}{5};b-a=8\)

\(\Rightarrow\dfrac{a}{3}=\dfrac{b}{5}=\dfrac{b-a}{5-3}=\dfrac{8}{2}=4\\ \Rightarrow\left\{{}\begin{matrix}a=12\\b=20\end{matrix}\right.\)

Vậy ...

Bài 7:

\(\Leftrightarrow\dfrac{x+1}{9}+1+\dfrac{x+2}{8}+1=\dfrac{x+3}{7}+1+\dfrac{x+4}{6}+1\)

=>x+10=0

hay x=-10

Bài 8:

\(\Leftrightarrow\dfrac{x+1}{2003}+1+\dfrac{x+2}{2002}+1=\dfrac{x+3}{2001}+1+\dfrac{x+4}{2000}+1\)

=>x+2004=0

hay x=-2004

Tách ra b nha :)

Bài 8:

a: Ta có: \(M=\dfrac{2\sqrt{x}-9}{x-5\sqrt{x}+6}-\dfrac{\sqrt{x}+3}{\sqrt{x}-2}+\dfrac{2\sqrt{x}+1}{\sqrt{x}-3}\)

\(=\dfrac{2\sqrt{x}-9-x+9+2x-4\sqrt{x}+\sqrt{x}-2}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}\)

\(=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}\)

b: Thay \(x=11-6\sqrt{2}\) vào M, ta được:

\(M=\dfrac{3-\sqrt{2}+1}{3-\sqrt{2}-3}=\dfrac{4-\sqrt{2}}{-\sqrt{2}}=-2\sqrt{2}+1\)

Bài 8:

a) \(M=\dfrac{2\sqrt{x}-9-\left(\sqrt{x}+3\right)\left(\sqrt{x}-3\right)+\left(2\sqrt{x}+1\right)\left(\sqrt{x}-2\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}\)

\(=\dfrac{2\sqrt{x}-9-x+9+2x-3\sqrt{x}-2}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}=\dfrac{x-\sqrt{x}-2}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}=\dfrac{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}{\left(\sqrt{x}-2\right)\left(\sqrt{x}-3\right)}=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}\)

b) \(M=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}=\dfrac{\sqrt{11-6\sqrt{2}}+1}{\sqrt{11-6\sqrt{2}}-3}=\dfrac{\sqrt{\left(3-\sqrt{2}\right)^2}+1}{\sqrt{\left(3-\sqrt{2}\right)^2}-3}=\dfrac{4-\sqrt{2}}{-\sqrt{2}}=1-2\sqrt{2}\)

c) \(M=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}=3\)

\(\Leftrightarrow3\sqrt{x}-9=\sqrt{x}+1\Leftrightarrow2\sqrt{x}=10\Leftrightarrow\sqrt{x}=5\Leftrightarrow x=25\left(tm\right)\)

d) \(M=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}< 1\)

\(\Leftrightarrow\sqrt{x}+1< \sqrt{x}-3\Leftrightarrow1< -3\left(VLý\right)\)

Vậy \(S=\varnothing\)

e) \(M=\dfrac{\sqrt{x}+1}{\sqrt{x}-3}=1+\dfrac{4}{\sqrt{x}-3}\in Z\)

\(\Rightarrow\sqrt{x}-3\inƯ\left(4\right)=\left\{-4;-2;-1;1;2;4\right\}\)

Kết hợp đk:

\(\Rightarrow x\in\left\{1;16;25;49\right\}\)

\(7,\\ a,=\left(3x+1\right)^3\\ b,=\left(2x+3y\right)^3\\ c,mờ.quá\\ d,=\left(3x-1\right)^3\\ e,=\left(\dfrac{x}{2}+y^2\right)^3\\ 8,\\ a,=\left(x+3\right)^3\\ b,=\left(2-x\right)^3\)

Bài 6:

Ta có: \(V_{ddHCl}=\dfrac{120}{1,2}=100\left(ml\right)\)

\(\Rightarrow n_{HCl}=0,1.6=0,6\left(mol\right)\)

Giả sử KL cần tìm là A.

PT: \(A+2HCl\rightarrow ACl_2+H_2\)

____0,3____0,6 (mol)

\(\Rightarrow M_A=\dfrac{7,2}{0,3}=24\left(g/mol\right)\)

Vậy: A là Magie. (Mg)

Bạn tham khảo nhé!

Bài 8:

Ta có: m _{dd HCl} = 83,3.1,2 = 99,96 (g)

\(\Rightarrow m_{HCl}=99,96.21,9\%\approx21,9\left(g\right)\Rightarrow n_{HCl}=\dfrac{21,9}{36,5}=0,6\left(mol\right)\)

Giả sử KL cần tìm là A.

PT: \(A+2HCl\rightarrow ACl_2+H_2\)

___0,3____0,6 (mol)

\(\Rightarrow M_A=\dfrac{7,2}{0,3}=24\left(g/mol\right)\)

Vậy: A là Magie (Mg).

Bạn tham khảo nhé!

Bài 8:

Gọi số chưa biết là x

Theo đề, ta có: 0,75x+30%(0,75x)=19,5

=>x=20

8: \(x\sqrt{x}-1=\left(\sqrt{x}-1\right)\left(x+\sqrt{x}+1\right)\)

9: \(x\sqrt{x}+1=\left(\sqrt{x}+1\right)\left(x-\sqrt{x}+1\right)\)

10: \(x\sqrt{x}-y\sqrt{y}=\left(\sqrt{x}-\sqrt{y}\right)\left(x+\sqrt{xy}+y\right)\)

11: \(x\sqrt{x}+y\sqrt{y}=\left(\sqrt{x}+\sqrt{y}\right)\left(x-\sqrt{xy}+y\right)\)

Câu 7 :

a, Tham khảo : https://olm.vn/hoi-dap/detail/43902845942.html

b, Tham khảo : https://olm.vn/hoi-dap/detail/7963533510.html

Bài 8:

Bài 7: 

b: Ta có: \(\dfrac{2}{1\cdot2}+\dfrac{2}{2\cdot3}+\dfrac{2}{3\cdot4}+...+\dfrac{2}{18\cdot19}+\dfrac{2}{19\cdot20}\)

\(=2\left(\dfrac{1}{1}-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{18}-\dfrac{1}{19}+\dfrac{1}{19}-\dfrac{1}{20}\right)\)

\(=2\cdot\dfrac{19}{20}=\dfrac{19}{10}\)