Whakaoti mō x (complex solution)
\left\{\begin{matrix}x=0\text{, }&y\neq 0\\x\in \mathrm{C}\text{, }&y=1\text{ or }y=-1\end{matrix}\right.
Whakaoti mō x
\left\{\begin{matrix}x=0\text{, }&y\neq 0\\x\in \mathrm{R}\text{, }&|y|=1\end{matrix}\right.
Whakaoti mō y
\left\{\begin{matrix}\\y=1\text{; }y=-1\text{, }&\text{unconditionally}\\y\neq 0\text{, }&x=0\end{matrix}\right.
Graph
Tohaina
Kua tāruatia ki te papatopenga
xyy=x
Whakareatia ngā taha e rua o te whārite ki te y.
xy^{2}=x
Whakareatia te y ki te y, ka y^{2}.
xy^{2}-x=0
Tangohia te x mai i ngā taha e rua.
\left(y^{2}-1\right)x=0
Pahekotia ngā kīanga tau katoa e whai ana i te x.
x=0
Whakawehe 0 ki te y^{2}-1.
xyy=x
Whakareatia ngā taha e rua o te whārite ki te y.
xy^{2}=x
Whakareatia te y ki te y, ka y^{2}.
xy^{2}-x=0
Tangohia te x mai i ngā taha e rua.
\left(y^{2}-1\right)x=0
Pahekotia ngā kīanga tau katoa e whai ana i te x.
x=0
Whakawehe 0 ki te y^{2}-1.
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