a) \(\left(2x+3\right).\left(\frac{1}{2}.x-\frac{3}{2}\right)=0\)

\(\Rightarrow\orbr{\begin{cases}2x+3=0\\\frac{1}{2}.x-\frac{3}{2}=0\end{cases}}\) \(\Rightarrow\orbr{\begin{cases}2x=-3\\\frac{1}{2}.x=\frac{3}{2}\end{cases}}\Rightarrow\orbr{\begin{cases}x=-\frac{3}{2}\\x=\frac{3}{2}:\frac{1}{2}\end{cases}}\) \(\Rightarrow\orbr{\begin{cases}x=-\frac{3}{2}\\x=3\end{cases}}\)

Vậy x = \(-\frac{3}{2}\) hoặc x = 3

b)\(\left(\frac{1}{2}-x\right)^2=\frac{64}{49}\)

\(\Rightarrow\left(\frac{1}{2}-x\right)^2=\left(\frac{8}{7}\right)^2\) hoặc \(\left(\frac{1}{2}-x\right)^2=\left(-\frac{8}{7}\right)^2\)

\(\Rightarrow\orbr{\begin{cases}\frac{1}{2}-x=\frac{8}{7}\\\frac{1}{2}-x=-\frac{8}{7}\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{1}{2}-\frac{8}{7}\\x=\frac{1}{2}+\frac{8}{7}\end{cases}}\Rightarrow\orbr{\begin{cases}x=-\frac{9}{14}\\x=\frac{23}{14}\end{cases}}\)

Vậy x = \(-\frac{9}{14}\) hoặc x = \(\frac{23}{14}\)

c) \(\frac{1}{2}.\left(x-4,5\right)=\frac{3}{4}.x=\frac{5}{12}\) ( câu này mik ko hiểu cho lắm)

k mik nha mn!

doi mik sua

la cong 3/4

\(\Leftrightarrow\left(\dfrac{13}{4}-x\right)\cdot\dfrac{101}{25}-\dfrac{1213}{100}=2\cdot\left[\left(x-\dfrac{10}{7}\right)\cdot\dfrac{49}{50}+\dfrac{2}{5}\right]\)

\(\Leftrightarrow\left(\dfrac{13}{4}-x\right)\cdot\dfrac{101}{25}=\dfrac{49}{25}\left(x-\dfrac{10}{7}\right)+\dfrac{4}{5}+\dfrac{1213}{100}\)

\(\Leftrightarrow\dfrac{1313}{100}-\dfrac{101}{25}x=\dfrac{49}{25}x-\dfrac{490}{175}+\dfrac{1293}{100}\)

=>-6x=13/5

hay x=-13/30

a: \(=\dfrac{7}{5}\cdot\dfrac{15}{49}-\dfrac{12+10}{15}:\dfrac{11}{5}\)

\(=\dfrac{3}{7}-\dfrac{22}{15}\cdot\dfrac{5}{11}=\dfrac{3}{7}-\dfrac{2}{3}=\dfrac{9-14}{21}=\dfrac{-5}{21}\)

b: =>2,8x-32=-60

=>2,8x=-28

hay x=-10

Đặt B = \(\frac{1}{4.9}+\frac{1}{9.14}+...+\frac{1}{44.49}\)

\(=\frac{1}{5}\left(\frac{5}{4.9}+\frac{5}{9.14}+...+\frac{5}{44.49}\right)\)

\(=\frac{1}{5}\left(\frac{1}{4}-\frac{1}{9}+\frac{1}{9}-\frac{1}{14}+...+\frac{1}{44}-\frac{1}{49}\right)\)

\(=\frac{1}{5}\cdot\left(\frac{1}{4}-\frac{1}{49}\right)=\frac{1}{5}\cdot\frac{45}{196}=\frac{9}{196}\)

Đặt C = \(\frac{1-3-5-....-49}{89}\)

\(=\frac{1-\left(3+5+...+49\right)}{89}\)

\(=\frac{1-\frac{\left(49+3\right).24}{2}}{89}\)

\(=\frac{1-624}{89}=\frac{-623}{89}=-7\)

\(\Rightarrow A=B.C=\frac{9}{196}\cdot\left(-7\right)=\frac{-9}{28}\)

X có vô số giá trị!

 \(x\inℝ\)

\(...=1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{49}-\dfrac{1}{50}\)

\(=1-\dfrac{1}{50}=\dfrac{50}{50}-\dfrac{1}{50}=\dfrac{49}{50}\)

Đề sai rồi em không phải \(\dfrac{1}{49}+\dfrac{1}{50}\) em xem lại đề 

Bài 2 

a)  \(x\times1\frac{1}{4}=3\frac{3}{4}\)

\(x\times\frac{5}{4}=\frac{15}{4}\)

\(x=\frac{15}{4}.\frac{4}{5}\)

\(x=3\)

b) \(x-\frac{3}{4}=6\times\frac{3}{8}\)

\(x-\frac{3}{4}=\frac{9}{4}\)

\(x=\frac{9}{4}+\frac{3}{4}\)

\(x=3\)

Những câu còn lại tương tự

3/4<570

3/4m2<570dm2

1/1*2 + 1/2*3 + 1/3*4 + 1/4*5 + ... +1/49*50

= 1 - 1/2 + 1/2- 1/3 + ... + 1/49 - 1/50

= 1 - 1/50

= 49/50