vuagialong

1,$\left\{\begin{matrix} x^2(y+1)(x+y+1)=3x^2-4x+1 & & \\ xy+x+1=x^2 & & \end{matrix}\right.$

2,$\left\{\begin{matrix} xy^2+4y^2+8=x(x+2) & & \\ x+y+3=3\sqrt{2y-1} & & \end{matrix}\right.$

3,$\left\{\begin{matrix} 2x^2+4y^2+x=19 & & \\ x^2+y^2+y=7 & & \end{matrix}\right.$

4,$\left\{\begin{matrix} \sqrt{3}(x-y)=2\sqrt{xy} & & \\ 2x-y^2=8 & & \end{matrix}\right.$

GPT

1. $\sqrt{2x^{2}+x+1}+\sqrt{x^2-x+1}=3x$

2. $\sqrt[3]{7x+1}-\sqrt[3]{x^2-x-8}+\sqrt[3]{x^2-8x-1}=2$

3. $x^4+2x^3+2x^2-2x+1=(x^3+x)\sqrt{\frac{1-x^2}{x}}$

4. $2(2\sqrt{1+x^2}-\sqrt{1-x^2})-\sqrt{1-x^4}=3x^2+1$

5. $x^2+3\sqrt{x^2-1}=\sqrt{x^4-x^2+1}$

Giải phương trình: $x^{3}-3x+1=\sqrt{8-3x^{2}}$

1. $\left\{\begin{matrix} y(1+2x^{3}y)=3^{6}\\ 1+4x^{6}y^{2}=5x \end{matrix}\right.$

2. $\left\{\begin{matrix} \dfrac{y(xy-1)}{y^{2}+1}=\dfrac{2}{5}\\ & & \\ \dfrac{x(xy-1)}{y^{2}+1}=\dfrac{1}{2} & & \end{matrix}\right.$

3. $\left\{\begin{matrix} x^{2}+y^{2}+xy+1=4y\\ y(x+y)^{2}=2x^{2}+7y+2 \end{matrix}\right.$

4. $\left\{\begin{matrix} x^{2}+1+y^{2}+xy=4y & & \\ x+y-2= \frac{y}{x^2+1}& & \end{matrix}\right.$

5. $\left\{\begin{matrix} x^{3}(2+3y)=8\\ x(y^{3}-2)=6 \end{matrix}\right.$

Giải hệ phương trình

$\left\{\begin{matrix} y^{2}+x+xy-6y+1=0\\ y^{3}x-9y^{2}+x^{2}y+x=0 \end{matrix}\right.$