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15 tháng 3 2022

135

HT

15 tháng 3 2022

Âm 135 nha 

Bài 3:

\(2⋮n-1\Leftrightarrow n-1\inƯ\left(2\right)=\left\{\pm1;\pm2\right\}\)

ta có bảng:

n-112-1-2
n230-1

vậy......................

b)\(\frac{n+3}{n+1}=\frac{n+1+2}{n+1}=1+\frac{2}{n+1}\)

để \(\left(n+3\right)⋮\left(n+1\right)\Rightarrow2⋮n+1\Rightarrow n+1\inƯ\left(2\right)=\left\{\pm1\right\}\)

ta có bảng sau:

n+112-1-2
n01-2-3
15 tháng 3 2022

\(P=\dfrac{x-1+9}{x-1}=1+\dfrac{9}{x-1}\Rightarrow x-1\inƯ\left(9\right)=\left\{\pm1;\pm3;\pm9\right\}\)

x-11-13-39-9
x204-210-8

 

\(\frac{6}{5}.x=\frac{7}{10}\)

\(x=\frac{7}{10}:\frac{6}{5}\)

\(x=\frac{7}{12}\)

15 tháng 3 2022

a, \(\frac{-1}{2}+\frac{5}{6}+\frac{1}{3}=\frac{-3}{6}+\frac{5}{6}+\frac{2}{6}=\frac{4}{6}=\frac{2}{3}\)

b, \(\frac{-3}{8}+\frac{7}{4}+\frac{1}{12}=\frac{-9}{24}+\frac{42}{24}+\frac{2}{24}=\frac{35}{24}\)

c, \(\frac{3}{5}:\left(\frac{1}{4}:\frac{7}{5}\right)=\frac{3}{5}:\frac{5}{28}=\frac{3}{5}.\frac{28}{5}=\frac{84}{25}\)

d, Ko rõ đề

e, \(\frac{5}{13}.\frac{8}{15}+\frac{5}{13}.\frac{26}{15}-\frac{5}{13}.\frac{8}{15}=\frac{5}{13}.\left(\frac{8}{15}+\frac{26}{15}-\frac{8}{15}\right)=\frac{5}{13}.\frac{13}{5}=1\)

#Fox

15 tháng 3 2022

\(\left(3x-1\right).\left(\frac{-1}{2}x+5\right)=0.\)

\(TH1:3x-1=0\)

\(3x=0+1\)

\(3x=1\)

\(x=\frac{1}{3}\)

\(TH2:\frac{-1}{2}x+5=0\)

\(\frac{-1}{2}x=-5\)

\(x=-5\div\frac{-1}{2}\)

\(x=10\)

\(\left(3x-1\right).\left(\frac{-1}{2}x+5\right)=0.\)

TH1

\(3x-1=0\)

\(3x=0+1\)

\(3x=1\)

\(x=1\div3\)

\(x=\frac{1}{3}\)

TH2

\(\frac{-1}{2}x+5=0\)

\(\frac{-1}{2}x=0-5\)

\(\frac{-1}{2}x=-5\)

\(x=-5\div\frac{-1}{2}\)

\(\Leftrightarrow x=-5.\left(-2\right)\)

\(x=10\)

\(\Rightarrow\orbr{\begin{cases}x=\frac{1}{3}\\x=10\end{cases}}\)

15 tháng 3 2022

a) \(\frac{-1}{2}+\frac{5}{6}+\frac{1}{3}=\frac{1}{3}+\frac{1}{3}=\frac{2}{3}.\)

b) \(\frac{-3}{8}+\frac{7}{4}+\frac{1}{12}=\frac{3}{8}+\frac{1}{12}=\frac{36}{96}+\frac{8}{96}=\frac{48}{96}=\frac{1}{2}\)

c)  \(\frac{3}{5}\div\left(\frac{1}{4}\div\frac{7}{5}\right)=\frac{3}{5}\div\frac{5}{28}=\frac{3}{5}.\frac{28}{5}=\frac{84}{25}\)

d) \(\frac{10}{11}+\frac{4}{11}\div4-\frac{-1}{8}=\left(\frac{14}{11}\div4\right)-\frac{-1}{8}=\frac{7}{22}-\frac{1}{8}=\frac{56}{176}-\frac{22}{176}=\frac{34}{176}=\frac{17}{88}\)

e) \(\frac{5}{13}.\frac{8}{15}+\frac{5}{13}.\frac{26}{15}-\frac{5}{13}.\frac{8}{15}=\frac{5}{13}.\left(\frac{8}{15}+\frac{26}{15}-\frac{8}{15}\right)=\frac{5}{13}.\frac{26}{15}=\frac{130}{195}=\frac{26}{39}\)