Không rõ đề lắm bạn ơi

câu hỏi của bạn có sai ko ạ

1)

a) 21/23 x 5/11 x 4/35

= \(\frac{21.5.4}{23.11.35}\)

= \(\frac{7.3.5.4}{23.11.5.7}\)

= \(\frac{3.4}{23.11}\)    ( ta đã rút gọc 7 và 5 )

= \(\frac{12}{253}\)

b) 26 x 13/42 : 13

= \(\frac{26.13}{42.13}\)

= \(\frac{13.2.13}{21.2.13}\)

= \(\frac{13}{21}\)

c) 5/9 : 2/9 + 4/9 : 2/3

= \(\frac{5.9}{9.2}+\frac{4.3}{9.2}\)

= \(\frac{5}{2}+\frac{2.2.3}{3.3.2}\)

= \(\frac{5}{2}+\frac{2}{3}\)

= \(\frac{19}{6}\)

2 ) tìm x

a ) 2 - x = 1/3 + 1/6

      2 - x = 1/2

      x = 2 - 1/2 

    x = 3/2

b ) x + 5/8 = 1 + 3/4

     x + 5/8 = 7/4 

      x = 7/4 - 5/8 

       x = 9/8

3) 

a)  x < 3/4 + 4/5

=> x < 31/20 

=> x = 1

b) 1/2 + 3/5 < x < 5/4

  => 11/10   < x < 5/4

ta quy đồng phân số 11/10 và 5/4

\(\frac{11}{10}=\frac{11.4}{10.4}=\frac{44}{40}\)

\(\frac{5}{4}=\frac{5.10}{4.10}=\frac{50}{40}\)

=> 44/40 < x <  50/40

=> x không thỏa mãn 

plp]l]

A=1/1.2+1/2.3+...1/x =49/50

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

A=1-1/x=49/50

A=50/50-1=x=49/50

x=1/50

\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{x}=\frac{49}{50}\)

\(\Rightarrow\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{x\left(x-1\right)}=\frac{49}{50}\)

\(\Rightarrow1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{x-1}-\frac{1}{x}=\frac{49}{50}\)

\(\Rightarrow1-\frac{1}{x}=\frac{49}{50}\)

\(\Rightarrow\frac{1}{x}=\frac{1}{50}\)

\(\Rightarrow x=50\)

a: \(A=\left(\dfrac{2+x}{2-x}-\dfrac{4x^2}{x^2-4}-\dfrac{2-x}{2+x}\right):\dfrac{2\left(x-3\right)}{2-x}\)

\(=\dfrac{4+4x+x^2+4x^2-\left(2-x\right)^2}{\left(2-x\right)\left(2+x\right)}\cdot\dfrac{2-x}{2\left(x-3\right)}\)

\(=\dfrac{5x^2+4x+4-4+4x-x^2}{\left(2+x\right)}\cdot\dfrac{1}{2\left(x-3\right)}\)

\(=\dfrac{4x^2+8x}{x+2}\cdot\dfrac{1}{2\left(x-3\right)}=\dfrac{4x\left(x+2\right)}{2\left(x+2\right)}\cdot\dfrac{1}{x-3}=\dfrac{2x}{x-3}\)

b: |x-2|=2

=>x-2=2 hoặc x-2=-2

=>x=0(nhận) hoặc x=4(nhận)

Khi x=0 thì \(A=\dfrac{2\cdot0}{0-3}=\dfrac{-2}{3}\)

Khi x=4 thì \(A=\dfrac{2\cdot4}{4-3}=8\)

c: A>0

=>x/x-3>0

=>x>3 hoặc x<0

=>x>3

\(\frac{x}{3\frac{1}{2}.2\frac{2}{3}}=\frac{9}{56}\Rightarrow\frac{x}{\frac{7}{2}.\frac{8}{3}}=\frac{9}{56}\Rightarrow x=\frac{9}{56}.\frac{28}{3}=\frac{3}{2}\)

\(x:\left(3\frac{1}{2}.2\frac{2}{3}\right)=\frac{9}{56}\)

\(x:\left(\frac{7}{2}.\frac{8}{3}\right)=\frac{9}{56}\)

\(x:\left(\frac{7.4}{3}\right)=\frac{9}{56}\)

\(x.\frac{3}{28}=\frac{9}{56}\)

\(x=\frac{9}{56}.\frac{28}{3}=\frac{3}{2}\)

Vậy \(x=\frac{3}{2}\)

a)\(\frac{6}{x-5}=\frac{y+2}{-5}\)

=>(x-5)(y+2)=6*(-5)=-30

Ta xét bảng sau:

b)Để (x+1)/(x-5) có giá trị nguyên

thì (x+1) phải chia hết cho (x-5)

(x-5)+6 chia hết cho (x-5)

=>6 chia hết cho (x-5) hay (x-5)EƯ(6)={1;-1;2;-2;3;-3;6;-6}

=>xE{6;4;7;3;8;2;11;-1}

Vậy xE{6;4;7;3;8;2;11;-1}