Whakaoti mō y (complex solution)
\left\{\begin{matrix}\\y=\frac{x}{4}\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.
Whakaoti mō y
\left\{\begin{matrix}\\y=\frac{x}{4}\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Whakaoti mō x
x=4y
x=0
Graph
Tohaina
Kua tāruatia ki te papatopenga
x^{2}+2xy+y^{2}-\left(x-y\right)^{2}=x^{2}
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+y\right)^{2}.
x^{2}+2xy+y^{2}-\left(x^{2}-2xy+y^{2}\right)=x^{2}
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-y\right)^{2}.
x^{2}+2xy+y^{2}-x^{2}+2xy-y^{2}=x^{2}
Hei kimi i te tauaro o x^{2}-2xy+y^{2}, kimihia te tauaro o ia taurangi.
2xy+y^{2}+2xy-y^{2}=x^{2}
Pahekotia te x^{2} me -x^{2}, ka 0.
4xy+y^{2}-y^{2}=x^{2}
Pahekotia te 2xy me 2xy, ka 4xy.
4xy=x^{2}
Pahekotia te y^{2} me -y^{2}, ka 0.
\frac{4xy}{4x}=\frac{x^{2}}{4x}
Whakawehea ngā taha e rua ki te 4x.
y=\frac{x^{2}}{4x}
Mā te whakawehe ki te 4x ka wetekia te whakareanga ki te 4x.
y=\frac{x}{4}
Whakawehe x^{2} ki te 4x.
x^{2}+2xy+y^{2}-\left(x-y\right)^{2}=x^{2}
Whakamahia te ture huarua \left(a+b\right)^{2}=a^{2}+2ab+b^{2} hei whakaroha \left(x+y\right)^{2}.
x^{2}+2xy+y^{2}-\left(x^{2}-2xy+y^{2}\right)=x^{2}
Whakamahia te ture huarua \left(a-b\right)^{2}=a^{2}-2ab+b^{2} hei whakaroha \left(x-y\right)^{2}.
x^{2}+2xy+y^{2}-x^{2}+2xy-y^{2}=x^{2}
Hei kimi i te tauaro o x^{2}-2xy+y^{2}, kimihia te tauaro o ia taurangi.
2xy+y^{2}+2xy-y^{2}=x^{2}
Pahekotia te x^{2} me -x^{2}, ka 0.
4xy+y^{2}-y^{2}=x^{2}
Pahekotia te 2xy me 2xy, ka 4xy.
4xy=x^{2}
Pahekotia te y^{2} me -y^{2}, ka 0.
\frac{4xy}{4x}=\frac{x^{2}}{4x}
Whakawehea ngā taha e rua ki te 4x.
y=\frac{x^{2}}{4x}
Mā te whakawehe ki te 4x ka wetekia te whakareanga ki te 4x.
y=\frac{x}{4}
Whakawehe x^{2} ki te 4x.
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