Nếu viết thêm chữ số 3 vào bên trái số đó thì ta được một số mới có 3 chữ số gấp 5 lần số đã cho . Số đã cho là bao nhiêu ?
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài làm:
1) \(3\sqrt{12}-4\sqrt{27}+5\sqrt{48}\)
\(=3.2\sqrt{3}-4.3\sqrt{3}+5.4\sqrt{3}\)
\(=6\sqrt{3}-12\sqrt{3}+20\sqrt{3}\)
\(=14\sqrt{3}\)
2) \(\left(\sqrt{45}-2\sqrt{10}+\sqrt{5}\right).\sqrt{5}+5\sqrt{8}\)
\(=3\sqrt{5}.\sqrt{5}-2\sqrt{10}.\sqrt{5}+\sqrt{5}.\sqrt{5}+5.2\sqrt{2}\)
\(=15-10\sqrt{2}+5+10\sqrt{2}\)
\(=20\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(2\sin2x-\cos2x=7\sin x+2\cos x-4\)
\(\Rightarrow4\sin x\cos x-\left(1-2\sin^2x\right)-7\sin x-2\cos x+4=0\)
\(\Rightarrow2\cos x\left(2\sin x-1\right)+\left(2\sin^2-7\sin x+3\right)=0\)
\(\Rightarrow2\cos x\left(2\sin x-1\right)+\left(2\sin x-1\right)\left(\sin x-3\right)=0\)
\(\Rightarrow\left(2\sin x-1\right)\left(2\cos x+\sin x-3\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2\sin x-1=0\\2\cos x+\sin x=3,\left(vn\right)\end{cases}\Rightarrow\orbr{\begin{cases}x=\frac{\eta}{6}+k2\eta\\x=\frac{5\eta}{6}+k2\eta\end{cases}}}\)
\(\eta=Pi;3.14159\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1. This is the first time Khanh went to Japan .
=> Khanh hasn't gone to Japan before .
2. Uyen stared learning 2 weeks ago .
=> Uyen has learnt for 2 weeks .
3. My parents began drinking when it started to rain .
=> My parents have drunk since it started to rain .
4. Tung last had his car repaired when I left him .
=> Tung haven't had his car repaired since I left him.
5. When did she have it ?
=> How long have she had it ?
6. I haven't seen my grandfather for 2 months .
=> The last time I saw my grandfather was 2 months ago .
7. Gin hasn't taken a bath since Tuesday .
=> It is Tuesday since Gin took a bath .
Học tốt
1) Khanh hasn't gone to Japan before
2) Uyen has learnt English for 2 weeks
3) My parents have drunk since it started rain
4) Tung hasn't repaired his car since the last time I left him
5) How long is it since she have had it ?
6) The last time I saw my grandfather was 2 months ago
7) It is 6 days since the last time Gin took a bath
![](https://rs.olm.vn/images/avt/0.png?1311)
Các bạn ơi phần này có 30 người trả lời thì mình sẽ ra phần 2 nhé
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 25/100 ; 12/100 và -35/100
b) -12/32 ; -10/32 và -11/32
Mk hơi mới nên không rõ cách viết
1)
a)\(\frac{25}{100};\frac{12}{100};\frac{-35}{100}\)b)\(\frac{-12}{32};\frac{-10}{32};\frac{-11}{32}\)
2)
a)\(\frac{-1}{2}\&\frac{-4}{5}\) b)\(\frac{-6}{7}\&\frac{-7}{8}\) c)\(\frac{17}{200}\&\frac{17}{314}\)
\(\Rightarrow=\frac{-5}{10}\&\frac{-8}{10}\) \(\Rightarrow=\frac{-48}{56}\&\frac{-49}{56}\) Mà\(200< 314\)
Mà\(\frac{-5}{10}>\frac{-8}{10}\) Mà\(\frac{-48}{56}>\frac{-49}{56}\) \(\Rightarrow\frac{17}{200}>\frac{17}{314}\)
\(\Rightarrow\frac{-1}{2}>\frac{-4}{5}\) \(\Rightarrow\frac{-6}{7}>\frac{-7}{8}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(x^5-x^4-1\)
\(=\left(x^5+x^2\right)-\left(x^4+x\right)-\left(x^2-x+1\right)\)
\(=x^2\left(x^3+1\right)-x\left(x^3+1\right)-\left(x^2-x+1\right)\)
\(=x^2\left(x+1\right)\left(x^2-x+1\right)-x\left(x+1\right)\left(x^2-x+1\right)-\left(x^2-x+1\right)\)
\(=\left(x^2-x+1\right)\left(x^3+x^2-x^2-x-1\right)\)
\(=\left(x^2-x+1\right)\left(x^3-x-1\right)\)
b) \(x^8+x^7+1\)
\(=\left(x^8-x^2\right)+\left(x^7-x\right)+\left(x^2+x+1\right)\)
\(=x^2\left(x^6-1\right)+x\left(x^6-1\right)+\left(x^2+x+1\right)\)
\(=x^2\left(x^3-1\right)\left(x^3+1\right)+x\left(x^3-1\right)\left(x^3+1\right)+\left(x^2+x+1\right)\)
\(=x^2\left(x-1\right)\left(x^2+x+1\right)\left(x^3+1\right)+x\left(x-1\right)\left(x^2+x+1\right)\left(x^3+1\right)+\left(x^2+x+1\right)\)
\(=\left(x^2+x+1\right)\left[\left(x^3-x^2\right)\left(x^3+1\right)+\left(x^2-x\right)\left(x^3+1\right)+1\right]\)
\(=\left(x^2+x+1\right)\left[\left(x^3-x\right)\left(x^3+1\right)+1\right]\)
\(=\left(x^2+x+1\right)\left(x^6-x^4+x^3-x+1\right)\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Tính
\(E=1-2+3-4+5-6+...+71-72\)
\(=\left(1-2\right)+\left(3-4\right)+\left(5-6\right)+...+\left(71-72\right)\) (có 36 cặp)
\(=\left(-1\right)+\left(-1\right)+\left(-1\right)+...+\left(-1\right)\)
\(=\left(-1\right).36=-36\)
Vậy \(E=-36\).
Ta có: E=1-2+3-4+5-6+...+71-72
=> E=(1-2)+(3-4)+(5-6)+...+(71-72)
=> E= (-1)+(-1)+(-1)+...+(-1)
Dãy trên có số sô hạng là: (72-1):1+1=72 (số hạng)
Có số cặp là: 72:2=36(cặp)
=> E=(-1) x 36=-36
Gọi số cần tìm là ab
Ta có 5 x ab = 3ab
=> 5 x ab = 300 + ab
=> 4 x ab = 300
=> ab = 75
Vậy số cần tim là 375
nhin sai sai kieu gi y so 4 lay o dau ?