Whakaoti mō α (complex solution)
\alpha \in \mathrm{C}
Whakaoti mō β (complex solution)
\beta \in \mathrm{C}
Whakaoti mō α
\alpha \in \mathrm{R}
Whakaoti mō β
\beta \in \mathrm{R}
Tohaina
Kua tāruatia ki te papatopenga
\alpha \beta ^{2}+\alpha ^{2}\beta =\beta \alpha ^{2}+\alpha \beta ^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te \alpha \beta ki te \alpha +\beta .
\alpha \beta ^{2}+\alpha ^{2}\beta -\beta \alpha ^{2}=\alpha \beta ^{2}
Tangohia te \beta \alpha ^{2} mai i ngā taha e rua.
\alpha \beta ^{2}=\alpha \beta ^{2}
Pahekotia te \alpha ^{2}\beta me -\beta \alpha ^{2}, ka 0.
\alpha \beta ^{2}-\alpha \beta ^{2}=0
Tangohia te \alpha \beta ^{2} mai i ngā taha e rua.
0=0
Pahekotia te \alpha \beta ^{2} me -\alpha \beta ^{2}, ka 0.
\text{true}
Whakatauritea te 0 me te 0.
\alpha \in \mathrm{C}
He pono tēnei mō tētahi \alpha ahakoa.
\alpha \beta ^{2}+\alpha ^{2}\beta =\beta \alpha ^{2}+\alpha \beta ^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te \alpha \beta ki te \alpha +\beta .
\alpha \beta ^{2}+\alpha ^{2}\beta -\beta \alpha ^{2}=\alpha \beta ^{2}
Tangohia te \beta \alpha ^{2} mai i ngā taha e rua.
\alpha \beta ^{2}=\alpha \beta ^{2}
Pahekotia te \alpha ^{2}\beta me -\beta \alpha ^{2}, ka 0.
\alpha \beta ^{2}-\alpha \beta ^{2}=0
Tangohia te \alpha \beta ^{2} mai i ngā taha e rua.
0=0
Pahekotia te \alpha \beta ^{2} me -\alpha \beta ^{2}, ka 0.
\text{true}
Whakatauritea te 0 me te 0.
\beta \in \mathrm{C}
He pono tēnei mō tētahi \beta ahakoa.
\alpha \beta ^{2}+\alpha ^{2}\beta =\beta \alpha ^{2}+\alpha \beta ^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te \alpha \beta ki te \alpha +\beta .
\alpha \beta ^{2}+\alpha ^{2}\beta -\beta \alpha ^{2}=\alpha \beta ^{2}
Tangohia te \beta \alpha ^{2} mai i ngā taha e rua.
\alpha \beta ^{2}=\alpha \beta ^{2}
Pahekotia te \alpha ^{2}\beta me -\beta \alpha ^{2}, ka 0.
\alpha \beta ^{2}-\alpha \beta ^{2}=0
Tangohia te \alpha \beta ^{2} mai i ngā taha e rua.
0=0
Pahekotia te \alpha \beta ^{2} me -\alpha \beta ^{2}, ka 0.
\text{true}
Whakatauritea te 0 me te 0.
\alpha \in \mathrm{R}
He pono tēnei mō tētahi \alpha ahakoa.
\alpha \beta ^{2}+\alpha ^{2}\beta =\beta \alpha ^{2}+\alpha \beta ^{2}
Whakamahia te āhuatanga tohatoha hei whakarea te \alpha \beta ki te \alpha +\beta .
\alpha \beta ^{2}+\alpha ^{2}\beta -\beta \alpha ^{2}=\alpha \beta ^{2}
Tangohia te \beta \alpha ^{2} mai i ngā taha e rua.
\alpha \beta ^{2}=\alpha \beta ^{2}
Pahekotia te \alpha ^{2}\beta me -\beta \alpha ^{2}, ka 0.
\alpha \beta ^{2}-\alpha \beta ^{2}=0
Tangohia te \alpha \beta ^{2} mai i ngā taha e rua.
0=0
Pahekotia te \alpha \beta ^{2} me -\alpha \beta ^{2}, ka 0.
\text{true}
Whakatauritea te 0 me te 0.
\beta \in \mathrm{R}
He pono tēnei mō tētahi \beta ahakoa.
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