แก้โจทย์ {l}{x+y=z}{x^3+y^3=z^3}

$$\left\{ \begin{array} { l } { x + y = z } \\ { x ^ { 3 } + y ^ { 3 } = z ^ { 3 } } \end{array} \right.$$

หาค่า x, y, z (complex solution)

$$x=-y\text{, }y\in \mathrm{C}\text{, }z=0$$

$$x=z-y\text{, }y=z\text{, }z\in \mathrm{C}$$

$$x=z\text{, }y=0\text{, }z\in \mathrm{C}$$

หาค่า x, y, z

$$x=-y\text{, }y\in \mathrm{R}\text{, }z=0$$

$$x=z-y\text{, }y=z\text{, }z\neq 0$$

$$x=z\text{, }y=0\text{, }z\in \mathrm{R}$$