Thay 3 chữ số 4,0,5 bỡi 4 chữ số 4,1,0,5
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\(\frac{x}{12}-\frac{x}{15}=\frac{1}{6}\)
\(\Leftrightarrow\frac{5x}{60}-\frac{4x}{60}=\frac{10}{60}\)
\(\Leftrightarrow5x-4x=10\)
\(\Leftrightarrow x=10\)
![](https://rs.olm.vn/images/avt/0.png?1311)
#)Giải :
\(B=\frac{1}{25.27}+\frac{1}{27.29}+...+\frac{1}{73.75}\)
\(2B=\frac{2}{25.27}+\frac{2}{27.29}+...+\frac{2}{73.75}\)
\(2B=\frac{1}{25}-\frac{1}{27}+\frac{1}{27}-\frac{1}{29}+...+\frac{1}{73}-\frac{1}{75}\)
\(2B=\frac{1}{25}-\frac{1}{75}\)
\(2B=\frac{2}{75}\)
\(B=\frac{2}{75}\div2\)
\(B=\frac{1}{75}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{1}{3-\sqrt{7}}-\frac{1}{3+\sqrt{7}}\)
\(=\frac{3+\sqrt{7}}{\left(3-\sqrt{7}\right)\left(3+\sqrt{7}\right)}-\frac{3-\sqrt{7}}{\left(3+\sqrt{7}\right)\left(3-\sqrt{7}\right)}\)
\(=\frac{3+\sqrt{7}-3+\sqrt{7}}{9-7}\)
\(=\frac{2\sqrt{7}}{2}\)
\(=\sqrt{7}\)
phần B là gì cơ?
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
mình biết làm câu D thôi còn câu còn lại chắc bạn ghi sai đề
\(D=\frac{4^7.2^8}{3.2^{15}.16^2-5.2^2.\left(2^{10}\right)^2}=\frac{2^{14}.2^8}{3.2^{15}.\left(2^4\right)^2-5.2^2.2^{20}}=\frac{2^{22}}{3.2^{15}.2^8-5.2^22^{20}}=\frac{2^{22}}{3.2^{22}.2-5.2^{22}}\)
\(=\frac{2^{22}}{2^{22}\left(3.2-5\right)}=\frac{2^{22}}{2^{22}.1}=1\) bạn ơi dấu . là nhân nhé
![](https://rs.olm.vn/images/avt/0.png?1311)
Nhân cả 2 vế với 2 ta có:
2P=24(52+1)(54+1)(58+1)(516+1)
2P=(52-1)(52+1)(54+1)(58+1)(516+1)
2P=(54-1)(54+1)(58+1)(516+1)
2P=(58-1)(58+1)(516+1)
2P=(516-1)(516+1)
2P=532-1
P=\(\frac{5^{32}-1}{2}\)
\(P=12\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(2P=\left(5^2-1\right)\left(5^2+1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(2P=\left(5^4-1\right)\left(5^4+1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(2P=\left(5^8-1\right)\left(5^8+1\right)\left(5^{16}+1\right)\)
\(2P=\left(5^{16}-1\right)\left(5^{16}+1\right)\)
\(2P=5^{32}-1\)
\(\Rightarrow P=\frac{5^{32}-1}{2}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1, CÓ( X+1,5)8 VÀ (2,7 -Y)12> HOẶC = 0
MÀ (X+1,5)8 + (2,7-Y)12 =0
SUY RA \(\hept{\begin{cases}X+1,5=0\\2,7-Y=0\end{cases}}\)
SUY RA\(\hept{\begin{cases}X=-1,5\\Y=2,7\end{cases}}\)
là sao vậy ak
ko rõ lắm