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a: =7/8:(2/9-18+1/36)-5/12
=-7/142-5/12=-397/852
b: =3/7(4/9+5/9:6/12)=2/3
c: =5^8(16/31-47/31)+1/3=-5^8+1/3
d: =7/2(3/8+5/8:4/15)=609/64
A) 7/38 x 9/11 +7/38 x 4/11 -7/38 x 2/11
=7/38.(9/11+4/11-2/11)
=7/38
B) 5/31 x 21/25 + 5/31 x -7/10 - 5/31 x 9/20
=5/31.(21/25-7/10-9/20)
=5/31.(-31/100)
=-1/20
Tìm x
\(\dfrac{2}{1\cdot4}x+\dfrac{2}{4\cdot7}x+\dfrac{2}{7\cdot10}x+....+\dfrac{2}{31\cdot34}x=10\)
\(\dfrac{2}{1.4}x+\dfrac{2}{4.7}x+\dfrac{2}{7.10}x+...+\dfrac{2}{31.34}x=10\)
\(=>1,5.\left(\dfrac{2}{1.4}x+\dfrac{2}{4.7}x+\dfrac{2}{7.10}x+...+\dfrac{2}{31.34}x\right)=15\)
\(=>\dfrac{3}{1.4}x+\dfrac{3}{4.7}x+\dfrac{3}{7.10}x+...+\dfrac{3}{31.34}x=15\)
\(=>x\left(\dfrac{3}{1.4}+\dfrac{3}{4.7}+\dfrac{3}{7.10}+...+\dfrac{3}{31.34}\right)=15\)
\(=>x\left(1-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{10}+...+\dfrac{1}{31}-\dfrac{1}{34}\right)=15\)
\(=>x\left(1-\dfrac{1}{34}\right)=15\)
\(=>\dfrac{33}{34}x=15\)
\(=>x=\dfrac{170}{11}\)
5/17 + -4/9 + -20/31 + -11/31 < x < -3/7 + 7/15 + 4/-7 + 8/15 + 2/3
-175/153<x\(\le\)2/3
-175/153<x\(\le\)102/153
suy ra -175<x\(\le\)153
vậy x bằng (-174/153,-173/153,-172/153,.........,101/153,102/153
\(\Leftrightarrow-\dfrac{16}{279}< \dfrac{x}{9}< =\dfrac{2}{3}\)
\(\Leftrightarrow\dfrac{x}{9}=0\)
hay x=0
Bài làm
a) \(\frac{x}{7}-\frac{3}{7}+\frac{1}{2}=\frac{31}{140}\)
\(\frac{x}{7}=\frac{31}{140}-\frac{1}{2}+\frac{3}{7}\)
\(\frac{x}{7}=\frac{31}{140}-\frac{70}{140}+\frac{60}{140}\)
\(\frac{x}{7}=\frac{21}{140}\)
\(\frac{x}{7}=\frac{3}{20}\)
=> \(x.20=3.7\)
=> \(x=\frac{3.7}{20}\)
=> \(x=\frac{21}{20}\)
Vậy \(x=\frac{21}{20}\)
b) \(\frac{5}{12}+\frac{5}{x}-\frac{1}{8}=\frac{1}{2}\)
\(\frac{5}{x}=\frac{1}{2}+\frac{1}{8}-\frac{5}{12}\)
\(\frac{5}{x}=\frac{12}{24}+\frac{3}{24}-\frac{10}{24}\)
\(\frac{5}{x}=\frac{5}{24}\)
=> \(5.24=5.x\)
=> \(x=\frac{5.24}{5}\)
=> \(x=24\)
Vậy \(x=24\)
# Học tốt #
a, \(1\frac{1}{2}.x-0,5x+20\%x=31\)
\(\frac{3}{2}x-\frac{1}{2}x+\frac{1}{5}x=31\)
\(x\left(\frac{3}{2}-\frac{1}{2}+\frac{1}{5}\right)=31\)
\(x.\frac{6}{5}=31\)
\(x=\frac{155}{6}\)
b, \(\frac{x-2}{7}=\frac{-7}{2-x}\)
\(\Rightarrow\frac{x-2}{7}=\frac{-7}{-\left(x-2\right)}\)
\(\Rightarrow-\left(x-2\right)\left(x-2\right)=7.\left(-7\right)=-49\)
\(\Rightarrow\left(x-2\right)^2=49=7^2\)
\(\Rightarrow\orbr{\begin{cases}x-2=7\\x-2=-7\end{cases}\Rightarrow}\orbr{\begin{cases}x=9\\x=-5\end{cases}}\)
\(x+7=-12-3\)
\(x+7=-15\)
\(x=-15-7\)
\(x=-22\)
\(13-x=20-\left(-31\right)\)
\(13-x=51\)
\(x=13-51\)
\(x=-38\)
\(2x-41=-19-2\)
\(2x-41=-21\)
\(2x=-21+41\)
\(2x=20\)
\(x=20:2\)
\(x=10\)
\(\left(x-1\right).2+14=30-\left(-14\right)\)
\(2x-2+14=44\)
\(2x-2=44-14\)
\(2x-2=30\)
\(2x=30+2\)
\(2x=32\)
\(x=16\)
cho minh hoi:tap hop cac so co 2 chu so chia het cho va 9
\(a,-\dfrac{4}{7}-x=\dfrac{3}{5}-2x\\ \Leftrightarrow x=\dfrac{41}{35}\)
\(b,\dfrac{5}{7}-\dfrac{1}{13}+\dfrac{1}{4}=\dfrac{31}{2}-x\\ \Leftrightarrow x=\dfrac{5319}{364}\)