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98/25 = 3,92
36/16 = 2,25
18/4 = 4,5
26/5 = 5,2
k mình nhoa ! ~~~
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![](https://rs.olm.vn/images/avt/0.png?1311)
:V Làm sai hết rồi sai ngay từ bước đầu tiên.
\(\frac{1}{3.4}-\frac{1}{4.5}-\frac{1}{5.6}-....-\frac{1}{9.10}\)
\(=\frac{1}{3.4}-\left(\frac{1}{4.5}+\frac{1}{5.6}+....+\frac{1}{9.10}\right)\)
\(=\frac{1}{12}-\left(\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+....+\frac{1}{9}-\frac{1}{10}\right)\)
\(=\frac{1}{12}-\left(\frac{1}{4}-\frac{1}{10}\right)\)
\(=\frac{1}{12}-\frac{3}{20}\)
\(=\frac{-11}{12}\)
\(\frac{1}{3.4}-\frac{1}{4.5}-...-\frac{1}{9.10}\)
= \(-\left(\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\right)\)
= \(-\left(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{9}-\frac{1}{10}\right)\)
= \(-\left(\frac{1}{3}-\frac{1}{10}\right)\)
= \(-\frac{7}{30}\)
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Sửa x(x - y) = 3/10
Ta có: \(\frac{x\left(x-y\right)}{y\left(x-y\right)}=\frac{\frac{3}{10}}{\frac{-3}{50}}\)\(\Rightarrow\frac{x}{y}=\frac{3}{10}.\frac{50}{-3}=-5\)\(\Rightarrow x=-5y\)
Lại có: \(x\left(x-y\right)=\frac{3}{10}\)\(\Rightarrow\left(-5y\right)\left(-5y-y\right)=\frac{3}{10}\)\(\Rightarrow\left(-5y\right)\left(-6y\right)=\frac{3}{10}\)\(\Rightarrow30y^2=\frac{3}{10}\)\(\Rightarrow y^2=\frac{3}{10}\div30=\frac{1}{100}\)\(\Rightarrow\orbr{\begin{cases}y=\frac{1}{10}\\y=\frac{-1}{10}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=-5.\frac{1}{10}=-\frac{1}{2}\\x=-5.\left(\frac{-1}{10}\right)=\frac{1}{2}\end{cases}}\)
Vậy....
98 x 43 / 274 x 65
= (32)8 x (22)3 / (33)4 x (3x2)5
= 316 x 26 / 312 x 35 x 25
= 316 x 26 / 317 x 25
= 2/3
\(\frac{9^8.4^3}{27^4.6^5}=\frac{\left(3^2\right)^8.\left(2^2\right)^3}{\left(3^3\right)^4.2^5.3^5}=\frac{3^{16}.2^6}{3^{12}.2^5.3^5}=\frac{3^{16}.2^6}{3^{17}.2^5}=\frac{1.2}{3.1}=\frac{2}{3}\)