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\(C=\frac{5}{x-2}\)
\(\Rightarrow x-2\) thuộc Ư (5) = {-1;1;-5;5}
- \(x-2=-1\Rightarrow x=1\)
- \(x-2=1\Rightarrow x=3\)
- \(x-2=-5\Rightarrow x=-3\)
- \(x-2=5\Rightarrow x=7\)
Mà x nguyên nhỏ nhất.
Vậy: x = -3
=> x -2\(\in\) Ư(5)
x-2=1
x=1+2=3
x-2=5
x=5+2=7
x-2=-1
x=2+-1=1
x-2=-5
x=-5+2=-3
Đặt \(A=\frac{5}{2.4}+\frac{5}{4.6}+\frac{5}{6.8}+..+\frac{5}{100.102}\)
\(\frac{2}{5}A=\frac{2}{2.4}+\frac{2}{4.6}+\frac{3}{6.8}+...+\frac{2}{100.102}\)
\(\frac{2}{5}A=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+...+\frac{1}{100}-\frac{1}{102}\)
\(\frac{2}{5}A=\frac{1}{2}-\frac{1}{102}\)
\(A=\frac{25}{51}:\frac{2}{5}\)
\(A=\frac{125}{102}\)
Ủng hộ mk nha !!! *_*
\(\text{Đ}\text{ặt}:A=\frac{5}{2.4}+\frac{5}{4.6}+\frac{5}{6.8}+..+\frac{5}{100.102}\)
\(\frac{2}{5}A=\frac{2}{2.4}+\frac{2}{4.6}+\frac{3}{6.8}+...+\frac{2}{100.102}\)
\(\frac{2}{5}A=\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{6}+\frac{1}{6}-\frac{1}{8}+...+\frac{1}{100}-\frac{1}{102}\)
\(\frac{2}{5}A=\frac{1}{2}-\frac{1}{102}\)
\(A=\frac{25}{51}:\frac{2}{5}\)
\(A=\frac{125}{102}\)
\(c.x\left(\frac{2}{5}-\frac{3}{5}\right)=\frac{2}{35}\)
\(x=\frac{2}{35}:\frac{-1}{5}=-\frac{2}{7}\)
\(d.\left(2x+1\right)^2=49=7^2=\left(-7\right)^2\)
\(TH1:2x+1=7\Rightarrow x=3\)
\(TH2=2x+1=-7\Rightarrow x=-4\)
\(a.x=\frac{-3}{5}-\frac{4}{9}=\frac{-47}{45}\)
\(b.\frac{3}{5}:x=\frac{17}{10}-\frac{2}{5}\)
\(x=\frac{3}{5}:\frac{13}{10}=\frac{6}{13}\)
Ta có : \(S=\frac{989898.89-898989.98}{2^3+3^4+4^5+...+2014^{2015}}\)
\(=\frac{98\cdot10101\cdot89-89\cdot10101\cdot98}{2^3+3^4+4^5+...+2014^{2015}}\)
\(=\frac{10101\cdot\left(98\cdot89-89\cdot98\right)}{2^3+3^4+4^5+....+2014^{2015}}\)
\(=\frac{10101\cdot0}{2^3+3^4+4^5+....+2014^{2015}}=0\)
Vậy \(S=0\)
\(S=\frac{989898.89-898989.98}{2^3+3^4+4^5+...+2014^{2015}}\)
\(=\frac{98\cdot10101\cdot89-89\cdot10101\cdot98}{2^3+3^4+4^5+...+2014^{2015}}\)
\(=\frac{10101\cdot\left(98\cdot89-89\cdot98\right)}{2^3+3^4+4^5+...+2014^{2015}}\)
\(=\frac{10101\cdot0}{2^3+3^4+4^5+...+2014^{2015}}\)
\(=0\)
\(\frac{x}{3}=\frac{2}{3}+\frac{-1}{7}\)
\(\frac{x}{3}=\frac{11}{21}\)
\(x=\frac{11.3}{21}\)(Áp dụng công thức \(\frac{a}{b}=\frac{c}{d}\)khi \(a.d=b.c\))
\(\Rightarrow x=\frac{11}{7}\)
~Học tốt~
\(\frac{x}{3}=\frac{2}{3}+\frac{-1}{7}\)
\(\frac{x}{3}=\frac{2.7+\left(-1\right).3}{21}\)
\(\frac{x}{3}=\frac{11}{21}\)
\(\Leftrightarrow21x=33\)
\(\Leftrightarrow x=\frac{33}{21}=\frac{11}{7}\)
/x+4/15/-/-3,75/=-/-2,15/
/x+4/15/-15/4=-\(\frac{43}{20}\)
x+4/15=\(\frac{43}{20}+\frac{15}{4}\)
x+4/15=59/10
x=59/10-4/15
x=\(5\frac{19}{30}\)
\(\frac{-5}{x}=\frac{-y}{8}=\frac{18}{72}\)
\(\Leftrightarrow\frac{-5}{x}=\frac{-y}{8}=\frac{1}{4}\)
\(\Leftrightarrow\orbr{\begin{cases}-\frac{5}{x}=\frac{1}{4}\\-\frac{y}{8}=\frac{1}{4}\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-5.4:1\\-y=8.1:4\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-20\\-y=2\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-20\\y=-2\end{cases}}}\)
vậy x=-20 và y=-2
\(2^x\cdot5=120\)
\(\Rightarrow2^x=24\)
\(\Rightarrow x=???\)
\(2^x.5=120\)
\(2^x=120:5\)
\(2^x=24\)
=>\(x=24:2\)
\(=12\)