\(\Leftrightarrow-y^2+\left(x+1\right)y+2x^2-5x+2=0\)
\(\Rightarrow-\left(y^2+\left(-x-1\right)y-2x^2+5x-2\right)=0\)
\(\Rightarrow y^2+\left(-x-1\right)y-2x^2+5x-2=0\)
\(\Leftrightarrow y^2-xy-y-2x^2+5x-2=0\)
\(\Rightarrow y=2-x\) hoặc \(y=2x-1\)
\(\Leftrightarrow-y^2+\left(x+1\right)y+2x^2-5x+2=0\)
\(\Rightarrow-\left(y^2+\left(-x-1\right)y-2x^2+5x-2\right)=0\)
\(\Rightarrow y^2+\left(-x-1\right)y-2x^2+5x-2=0\)
\(\Leftrightarrow y^2-xy-y-2x^2+5x-2=0\)
\(\Rightarrow y=2-x\) hoặc \(y=2x-1\)
giai he phuong trinh sau :
x^3 - x^2 y^2 - y^3 + 1 = 0 va x^3 + xy - 2 = 0
giai he phuong trinh
2x^2+y^2-3xy+3x-2y+1=0
4x^2-y^2+x+4=cbh(2x+y)+cbh(x+4y)
cbh là Căn bậc hai
giai he phuong trinh
x+2\x+1\y=4
1\x^2+1\xy+x\y=3
giai he phuong trinh x/x-1 + 2y/y+2 = 3 va 2x/x-1 - y/y+2 = -4
giai he phuong trinh
3x2+2y2-4xy+x+8y-4=0
x2-y2+2x+y-3=0
Giai he phuong trinh \(\hept{\begin{cases}2x^2-2xy-y^2=2\\^{2x^3-3x^2-3xy^2-y^3+1=0}\end{cases}}\)
giai he phuong trinh 2x^2-xy=xy^2_2x+y
(x^2+2y^2)(1+1/xy)^2=3
giai phuong trinh xy+xz=2(x+y+z); xy+yz=3(x+y+z); xz+yz=4(x+y+z)
giai he phuong trinh\(\left(x^2+1\right)\left(y^2+1\right)+8xy=0\)
va \(\frac{x}{^{x^2+1}}+\frac{y}{y^2+1}=\frac{-1}{4}\)