(3 1/2 hồn số + 2x).2 2/3=5 1/3
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8 tháng 4 2023
1: =>x+1/2=0 hoặc 2/3-2x=0
=>x=-1/2 hoặc x=1/3
2: =>7/6x=5/2:3,75=2/3
=>x=2/3:7/6=2/3*6/7=12/21=4/7
3: =>2x-3=0 hoặc 6-2x=0
=>x=3 hoặc x=3/2
4: =>-5x-1-1/2x+1/3=3/2x-5/6
=>-11/2x-3/2x=-5/6-1/3+1
=>-7x=-1/6
=>x=1/42
23 tháng 4 2023
cho A=1/101+1/102+1/103+...+1/199+1/200 chứng minh 1/2 <A<1
21 tháng 9 2020
a) \(4x-\left(x+\frac{1}{2}\right)=2x-\left(\frac{1}{2}-5\right)\)
=> \(4x-x-\frac{1}{2}=2x-\left(-\frac{9}{2}\right)\)
=> \(3x-\frac{1}{2}=2x+\frac{9}{2}\)
=> \(3x-\frac{1}{2}-2x-\frac{9}{2}=0\)
=> \(\left(3x-2x\right)+\left(-\frac{1}{2}-\frac{9}{2}\right)=0\)
=> x - 5 = 0 => x = 5
b) \(\frac{2}{3}-\frac{1}{3}\left(\frac{x}{-\frac{3}{2}}\right)-\frac{1}{2}\left(2x+1\right)=5\)
=> \(\frac{2}{3}-\frac{1}{3}\left[x\cdot\left(-\frac{2}{3}\right)\right]-x-\frac{1}{2}=5\)
=> \(\frac{2}{3}-\frac{1}{3}\left(-\frac{2x}{3}\right)-x-\frac{1}{2}=5\)
=> \(\frac{2}{3}-\left(-\frac{2x}{9}\right)-x-\frac{1}{2}=5\)
=> \(\frac{2}{3}+\frac{2x}{9}-x-\frac{1}{2}=5\)
=> \(\frac{6}{9}+\frac{2x}{9}-x=\frac{11}{2}\)
=> \(\frac{6+2x}{9}-x=\frac{11}{2}\)
=> \(\frac{6+2x}{9}-\frac{9x}{9}=\frac{11}{2}\)
=> \(\frac{6-7x}{9}=\frac{11}{2}\)
=> \(6-7x=\frac{11}{2}\cdot9=\frac{99}{2}\)
=> \(7x=6-\frac{99}{2}\)
=> \(7x=-\frac{87}{2}\)
=> \(x=\left(-\frac{87}{2}\right):7=\left(-\frac{87}{2}\right)\cdot\frac{1}{7}=-\frac{87}{14}\)
p/s : nếu gõ kiểu latex \(\frac{x}{-\frac{3}{2}}\)thì cái đây không phải là hỗn số đâu.Bạn nên kiểm tra đề :)))
29 tháng 4 2017
x+\(\dfrac{3}{15}=\dfrac{1}{3}\)
<=>\(x=\dfrac{1}{3}-\dfrac{3}{15}\)
<=>x=\(\dfrac{5}{15}-\dfrac{3}{15}\)
<=>x=\(\dfrac{2}{15}\)
Vậy S={\(\dfrac{2}{15}\)}
\(-5\left(x+\dfrac{1}{5}\right)-\dfrac{1}{2}\left(x-\dfrac{2}{3}\right)=\dfrac{3}{2}x-\dfrac{5}{6}\)
<=>\(-5x-1-\dfrac{1}{2}x+\dfrac{1}{3}=\dfrac{3}{2}x-\dfrac{5}{6}\)
<=>\(-\dfrac{11}{2}x-\dfrac{3}{2}x=-\dfrac{5}{6}+1-\dfrac{1}{3}\)
<=>-7x=\(-\dfrac{1}{6}\)
<=>x=\(\dfrac{7}{6}\)
Vậy S={\(\dfrac{7}{6}\)}
\(x\cdot6\dfrac{2}{7}+\dfrac{3}{7}\cdot2\dfrac{1}{5}-\dfrac{3}{7}=-2\)
<=>\(x\cdot\dfrac{44}{7}+\dfrac{3}{7}\cdot\dfrac{11}{5}-\dfrac{3}{7}=-2\)
<=>\(x\cdot\dfrac{44}{7}+\dfrac{3}{7}\cdot\left(\dfrac{11}{5}-1\right)=-2\)
<=>\(x\cdot\dfrac{44}{7}+\dfrac{3}{7}\cdot\dfrac{6}{5}=-2\)
<=>\(\dfrac{44}{7}x\)\(+\dfrac{18}{35}=-2\)
<=>\(\dfrac{44}{7}x=-2-\dfrac{18}{35}\)
<=>\(\dfrac{44}{7}x=-\dfrac{88}{35}\)
<=>x=\(-\dfrac{88}{35}\cdot\dfrac{7}{44}\)
<=>x=\(-\dfrac{2}{5}\)
Vậy S={\(-\dfrac{2}{5}\)}
CH
7 tháng 3 2020
a) \(\frac{-2}{3}x+\frac{1}{5}=\frac{1}{10}\)
\(\Leftrightarrow\frac{-2}{3}x=\frac{1}{10}-\frac{1}{5}\)
\(\Leftrightarrow\frac{-2}{3}x=\frac{-1}{10}\)
\(\Leftrightarrow x=\frac{-1}{10}\div\frac{-2}{3}\)
\(\Leftrightarrow x=\frac{3}{20}\)
16 tháng 6 2023
1: \(=6x^2+2x-15x-5-x^2+6x-9+4x^2+20x+25-27x^3-27x^2-9x-1\)
=-27x^3-18x^2+4x+10
2: =4x^2-1-6x^2-9x+4x+6-x^3+3x^2-3x+1+8x^3+36x^2+54x+27
=7x^3+37x^2+46x+33
5:
\(=25x^2-1-x^3-27-4x^2-16x-16-9x^2+24x-16+\left(2x-5\right)^3\)
\(=8x^3-60x^2+150-125+12x^2-x^3+8x-60\)
=7x^3-48x^2+8x-35
\(\left(3\frac{1}{2}+2x\right).2\frac{2}{3}=5\frac{1}{3}\)
\(\left(\frac{7}{2}+2x\right).\frac{8}{3}=\frac{16}{3}\)
\(\frac{7}{2}+2x=\frac{16}{3}:\frac{8}{3}\)
\(\frac{7}{2}+2x=2 \)
\(2x=2-\frac{7}{2}\)
\(2x=-\frac{3}{2}\)
\(x=-\frac{3}{2}:2\)
\(x=-\frac{3}{4}\)