x : 1/3 = 1/2 +1/3

=>x:1/3=5/6

=>x=5/6 x 1/3

=>x=5/18

(x:2/3):2/5=7/10

=>x:2/3=7/10 x 2/5 

=>x:2/3=7/25

=>x=7/25x2/3

=>x=14/75

CHÚC BẠN HỌC TỐT

cảm ơn bn nha!

cái này vừa gửi rồi mà:D

cách làm đấy cô ko cho >:(

\(x-\dfrac{1}{4}=\dfrac{-21}{10}\)

\(x=\dfrac{-21}{10}+\dfrac{1}{4}\)

\(x=\dfrac{-42}{20}+\dfrac{5}{20}=\dfrac{-37}{20}\)

Bài 1: 

3/4+5/4=8/4=2

2/3+3/4=8/12+9/12=17/12

1/3+5/7=7/21+15/21=22/21

Bài 2: 

a: x-1/2=1/3

nên x=1/3+1/2=5/6

b: x-3/6=5/8

=>x-1/2=5/8

=>x=5/8+1/2=5/8+4/8=9/8

Bài 1:

a: \(\frac{x^2+x+4}{2}+\frac{x^2+x+7}{3}=\frac{x^2+x+13}{5}+\frac{x^2+x+16}{6}\)

=>\(\left(\frac{x^2+x+4}{2}-3\right)+\left(\frac{x^2+x+7}{3}-3\right)=\left(\frac{x^2+x+13}{5}-3\right)+\left(\frac{x^2+x+16}{6}-3\right)\)

=>\(\frac{x^2+x-2}{2}+\frac{x^2+x-2}{3}=\frac{x^2+x-2}{5}+\frac{x^2+x-2}{6}\)

=>\(\left(x^2+x-2\right)\left(\frac12+\frac13-\frac15-\frac16\right)=0\)

=>\(x^2+x-2=0\)

=>(x+2)(x-1)=0

=>\(\left[\begin{array}{l}x+2=0\\ x-1=0\end{array}\right.\Rightarrow\left[\begin{array}{l}x=-2\\ x=1\end{array}\right.\)

b: \(\frac{2}{x^2+4x+3}+\frac{5}{x^2+11x+24}+\frac{2}{x^2+18x+80}=\frac{9}{25}\)

=>\(\frac{2}{\left(x+1\right)\left(x+3\right)}+\frac{5}{\left(x+3\right)\left(x+8\right)}+\frac{2}{\left(x+8\right)\left(x+10\right)}=\frac{9}{25}\)

=>\(\frac{1}{x+1}-\frac{1}{x+3}+\frac{1}{x+3}-\frac{1}{x+8}+\frac{1}{x+8}-\frac{1}{x+10}=\frac{9}{25}\)

=>\(\frac{1}{x+1}-\frac{1}{x+10}=\frac{9}{25}\)

=>\(\frac{x+10-x-1}{\left(x+1\right)\left(x+10\right)}=\frac{9}{25}\)

=>\(\frac{9}{\left(x+1\right)\left(x+10\right)}=\frac{9}{25}\)

=>(x+1)(x+10)=25

=>\(x^2+11x+10-25=0\)

=>\(x^2+11x-14=0\)

=>\(x^2+11x+\frac{121}{4}=44,25\)

=>\(\left(x+\frac{11}{2}\right)^2=\frac{177}{4}\)

=>\(x+\frac{11}{2}=\pm\sqrt{\frac{177}{2}}\)

=>\(x=-\frac{11}{2}\pm\frac{\sqrt{177}}{2}\)

\(\Leftrightarrow x^3+2x^2-3x-x^3-3x^2=-4\)

\(\Leftrightarrow x^2+3x-4=0\)

=>(x+4)(x-1)=0

=>x=-4 hoặc x=1

`x-1/8=1/4xx2/3`

`x-1/8=1/6`

`x=1/6+1/8`

`x=7/24`

x - 1/8 = 1/6

x         = 6/48 + 8/48
x         = 14/48

`|2x+1|-3=x+4`

`<=>|2x+1|=x+4+3=x+7(x>=-7)`

`**2x+1=x+7`

`<=>x=7-1=6(tm)`

`**2x+1=-x-7`

`<=>3x=-6`

`<=>x=-2(tm)`

`|3x-5|=1-3x(x<=1/3)`

`**3x-5=1-3x`

`<=>6x=6`

`<=>x=1(l)`

`**3x-5=3x-1`

`<=>-5=-1` vô lý

`|2x+2|+|x-1|=10`

Nếu `x>=1`

`pt<=>2x+2+x-1=10`

`<=>3x+1=10`

`<=>3x=9`

`<=>x=3(tm)`

Nếu `x<=-1`

`pt<=>-2x-2+1-x=10`

`<=>-1-3x=10`

`<=>-11=3x`

`<=>x=-11/3(tm)`

Nếu `-1<=x<=1`

`pt<=>2x+2+1-x=10`

`<=>x+3=10`

`<=>x=7(l)`

Vậy `S={3,-11/3}`

pt là phương trình phải ko vậy?