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f(x) có nghiệm khi 2x - 8 = 0
2x = 8
x = 8/2
x = 4
Vậy x = 4 là nghiệm của f(x) = 2x - 8
\(f\left(x\right)=2x-8\)
\(=>2x-8=0\)
\(=>2x=8\)
\(=>x=4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(f\left(1\right)=\left(2.1+3.1-4\right)^{2016}-\left(1+1\right)=\left(-1\right)^{2016}=1-2=-1\)Đáp số: =-1
![](https://rs.olm.vn/images/avt/0.png?1311)
Học cho thạo HĐT đi rồi hãy làm bạn à
\(x^2+y^2-2x+4y+5=0\)
\(\Leftrightarrow x^2-2x+1+y^2-4y+4=0\)
\(\Leftrightarrow\left(x-1\right)^2+\left(y-2\right)^2=0\)
\(\Leftrightarrow\left[\begin{matrix}\left(x-1\right)^2=0\Leftrightarrow x=1\\\left(y-2\right)^2=0\Leftrightarrow y=2\end{matrix}\right.\Rightarrow x+y=3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có : \(3f\left(2\right)+2f\left(1-2\right)=2.2+9\)
\(\Rightarrow3f\left(2\right)+2f\left(-1\right)=13\)
\(3f\left(-1\right)+2f\left(2\right)=2.\left(-1\right)+9\)
\(\Rightarrow3f\left(-1\right)+2f\left(2\right)=7\)
\(\Rightarrow\left[3f\left(2\right)+2f\left(-1\right)\right]-\left[3f\left(-1\right)+2f\left(2\right)\right]=13-7\)
\(\Rightarrow f\left(2\right)-f\left(-1\right)=6\)
\(\Rightarrow f\left(-1\right)=f\left(2\right)-6\)
Thay \(f\left(-1\right)=f\left(2\right)-6\) vào \(3f\left(2\right)+2f\left(-1\right)=13\) có :
\(3f\left(2\right)+2\left[f\left(2\right)-6\right]=13\)
\(3f\left(2\right)+2f\left(2\right)-12=13\)
\(5f\left(2\right)=25\)
\(f\left(2\right)=\frac{25}{5}=5\)
Vậy f (2) = 5
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=y^2-2y\left(x-1\right)+\left(x-1\right)^2-\left(x-1\right)^2+2x^2+4x+5\)
\(A=\left(y-x+1\right)^2-x^2+2x-1+2x^2+4x+5\)
\(A=\left(y-x+1\right)^2+x^2+6x+9-5\)
\(A=\left(y-x+1\right)^2+\left(x+3\right)^2-5\ge-5\)
Vậy Amin là -5 \(\Leftrightarrow\left\{{}\begin{matrix}\left(y-x+1\right)^2=0\\\left(x+3\right)^2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=-3\\y=-4\end{matrix}\right.\)
ta có : A=2x2 + y2-2xy +4x+2y+5
= (x2+y2+2y+1-2x-2xy)+(x2+6x
+9)-5
= (x-y-1)2+(x+3)2-5>=-5
Vậy Min A=-5 \(\Leftrightarrow\)x=-3; y=-4
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(x^2-2xy+y^2-2x+2y+1\right)+\left(x^2+6x+\frac{9}{4}\right)+\left(5-\left(1+\frac{9}{4}\right)\right)=\left(x-y-1\right)^2+\left(x+1\right)^2+\frac{25}{4}\ge\frac{25}{4}\)
đẳng thúc khi :\(\left\{\begin{matrix}x+\frac{3}{2}=0\\x-y-1=0\end{matrix}\right.\)=> x=...;y=...
mình không biết nơi
Vì f(x) = 0 => 2x - 8 = 0
=> 2x = 8 => x = 4
Vậy nghiệm của đt là x = 4.