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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
nhà em làm nghề chăn bò còn nếu em hỏi nhà em ở ngoài đòi thì ko ai biết cả
![](https://rs.olm.vn/images/avt/0.png?1311)
= 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
![](https://rs.olm.vn/images/avt/0.png?1311)
\(x\times3+x\times6+x=125+75.\)
\(x\times3+x\times6+x\times1=200\)
\(x\times\left(3+6+1\right)=200\)
\(x\times10=200\)
\(x=200\div10\)
\(x=20\)
\(x\times3+x\times6+x=125+75\)
\(x\times3+x\times6+x\times1=125+75\)
\(x\times\left(3+6+1\right)=200\)
\(x\times10=200\)
\(x=200\div10\)
\(x=20\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(M=4x-x^2+3\\ =-(x^2-4x-3)\\ =-(x^2-4x+4)+7\\ =-(x+2)^2+7 \leq7,\forall x\in \mathbb{R}\quad (\mathrm{vì}-(x+2)^2\leq0)\)
Dấu bằng xảy ra khi và chỉ khi \(-(x+2)^2=0\Leftrightarrow x+2=0 \Leftrightarrow x=-2\).
Vậy \(\mathrm{Max}M=7\Leftrightarrow x=-2\).
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
và
Ta có :
Mà nên
và
Ta có :
Mà nên
và
Ta có :
Vậy
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Theo bài ra ta có : a = 5k + 4
Khi đó : a2 = ( 5k + 4 )2
=> a2 = 25 k2 + 40k + 16
=> a2 = 5 . ( 5k2 + 8k + 3 ) + 1
Suy ra a2 chia cho 5 dư 1 ( ĐPCM )