tim x, y de x^2+2y^2-3xy+2x-4y+3=0
1. x^2-y^2-2x+2y 2. x^3-x+3x^2y+3xy^2+y^3-y. 3. 4x^4y^4+1. 4. x^2-2x-4y^2-4y. 5.x^3-x^2-x+1. 6.x^2y-x^3-9y+9x. 7.x^3-2x^2+x-xy^2. 8.x^2-2x-4y^2-4y.
Ói , hoa mắt chóng mặt nhức đầu ,
phân tích đa thức sau thành nhân tử1,3x 2 x 22, 2x 2 3xy 2y 23, 2x 2 3xy 2y 24, x 2 4xy 2x 3y 2 65, x 8 x 1Tìm x,y biết1, x 2 2x 5 y 2 4y 02,4x 2 y 4 20x 2y 26 0
đa thức lớp 5 hả bạm
đa thức lớp 5 à
mình ghi sao đề, các bạn ko cần làm đâu
phân tích đa thức sau thành nhân tử
1,3x^2+x-2
2, 2x^2-3xy-2y^2
3, 2x^2-3xy-2y^2
4, x^2+4xy+2x+3y^2+6
5, x^8+x+1
Tìm x,y biết
1, x^2+2x+5+y^2-4y=0
2,4x^2+y^4-20x-2y=26=0
mik ko bít
I don't now
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1) \(\left\{{}\begin{matrix}xy+x+y=x^2-2y^2\\x\sqrt{2y}-y\sqrt{x-1}=2x-2y\end{matrix}\right.\)
2) \(\left\{{}\begin{matrix}2x^2+y^2-3xy+3x-2y+1=0\\4x^2-y^2+x+4=\sqrt{2x+y}+\sqrt{x+4y}\end{matrix}\right.\)
Tìm (x, y) nguyên dương thõa mãn: \(x^2+2y^2-3xy+2x-4y+3=0\)
Tìm x,y,z biết: a) x^2+y^2-4x+4y+8=0 b) 5x^2-4xy+y^2=0 c) x^2+2y^2+z^2-2xy-2y-4z+5=0 d) 3x^2+3y^2+3xy-3x+3y+3=0 e) 2x^2+y^2+2z^2-2xy-2xz+2yz-2z-2z-2x+2=0
a) x2+y2-4x+4y+8=0
⇔ (x-2)2+(y+2)2=0
\(\Leftrightarrow\left\{{}\begin{matrix}x-2=0\\y+2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=2\\y=-2\end{matrix}\right.\)
b)5x2-4xy+y2=0
⇔ x2+(2x-y)2=0
\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\2x-y=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0\\y=0\end{matrix}\right.\)
c)x2+2y2+z2-2xy-2y-4z+5=0
⇔ (x-y)2+(y-1)2+(z-2)2=0
\(\Leftrightarrow\left\{{}\begin{matrix}x-y=0\\y-1=0\\z-2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=y=1\\z=2\end{matrix}\right.\)
b: Ta có: \(5x^2-4xy+y^2=0\)
\(\Leftrightarrow x^2-\dfrac{4}{5}xy+y^2=0\)
\(\Leftrightarrow x^2-2\cdot x\cdot\dfrac{2}{5}y+\dfrac{4}{25}y^2+\dfrac{21}{25}y^2=0\)
\(\Leftrightarrow\left(x-\dfrac{2}{5}y\right)^2+\dfrac{21}{25}y^2=0\)
Dấu '=' xảy ra khi \(\left\{{}\begin{matrix}x=0\\y=0\end{matrix}\right.\)
d)3x2+3y2+3xy-3x+3y+3=0
⇔ 6x2+6y2+6xy-6x+6y+6=0
⇔ 3(x+y)2+3(x-1)2+3(y+1)2=0
\(\Leftrightarrow\left\{{}\begin{matrix}x+y=0\\x-1=0\\y+1=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=1\\y=-1\end{matrix}\right.\)
Tìm các nghiệm nguyên (x, y)
5x2+y2-2xy+2x-2y-4=0
x2+2y2+3xy-2x-4y-5=0
x2+xy+y2=x2y2
x(x+1)(x+2)(x+3)=Y2
X2+2Y2+3xy-x-y+3=0