Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(\Leftrightarrow x^4-4x^3+12x^2-32x+32=\left(y-5\right)^2\)
\(\Leftrightarrow\left(x-2\right)^2\left(x^2+8\right)=\left(y-5\right)^2\)
- Với \(x=2\Rightarrow y=5\)
- Với \(x\ne2\Rightarrow x-2\) là ước của \(y-5\)
Đặt \(y-5=n\left(x-2\right)\)
\(\Rightarrow\left(x-2\right)^2\left(x^2+8\right)=n^2\left(x-2\right)^2\)
\(\Rightarrow x^2+8=n^2\)
\(\Rightarrow\left(n-x\right)\left(n+x\right)=8\)
\(\Rightarrow\left[{}\begin{matrix}x=1;n=-3\Rightarrow y=8\\x=-1;n=-3\Rightarrow y=14\\x=1;n=3\Rightarrow y=2\\x=-1;n=3\Rightarrow y=-4\end{matrix}\right.\)
Câu 1
\(a)PTHH:Mg+2HCl\rightarrow MgCl_2+H_2\\
b)200ml=0,2l\\
n_{HCl}=0,2.1=0,2mol\\
n_{H_2}=n_{MgCl_2}=\dfrac{1}{2}n_{H_2}=\dfrac{1}{2}\cdot0,2=0,1mol\\
V_{H_2}=0,1.24,79=2,479l\\
c)C_{M_{MgCl_2}}=\dfrac{0,1}{0,2}=0,5M\)
\(\dfrac{x}{x+1}=\dfrac{x\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}=\dfrac{x^2-x}{x^2-1}\)
\(\dfrac{x^2}{1-x}=\dfrac{-x^2}{x-1}=\dfrac{-x^2\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}=\dfrac{-x^3-x^2}{x^2-1}\)
Gọi số có 4 chữ số thỏa mãn là \(\overline{abcd}\). Khi đó a có 4 cách chọn (từ 1 đến 4). Còn các chữ số b, c, d đều có 5 cách chọn (từ 0 đến 4). Do đó có tất cả \(4.5.5.5=500\) số thỏa mãn ycbt.
1. Smartphones can be expensive because they come with many features.
=> Smartphones come with many features, so they can be expensive
2. Smartwatches can track your heart rate. They can also receive messages.
=> Smartwatches not only can track your heart rate, but also can receive messages
3. I enjoy taking photos with my phone, but the storage gets full quickly.
=> Although I enjoy taking photos with my phone, the storage gets full quickly.
4. Tablets are lightweight, so they are easy to carry in a bag.
=> Because tablets are lightweight, they are easy to carry in a bag.
5. I use noise-canceling headphones so that I can focus better in a noisy environment.
=> Because of using noise-canceling headphones, I can focus better in a noisy environment.
