Tīpoka ki ngā ihirangi matua
Whakaoti mō x (complex solution)
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Whakaoti mō x
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Tohaina

-x^{2}+5x^{3}-7-5x^{3}=-x^{2}-7
Tangohia te 5x^{3} mai i ngā taha e rua.
-x^{2}-7=-x^{2}-7
Pahekotia te 5x^{3} me -5x^{3}, ka 0.
-x^{2}-7+x^{2}=-7
Me tāpiri te x^{2} ki ngā taha e rua.
-x^{2}-7+x^{2}+7=0
Me tāpiri te 7 ki ngā taha e rua.
-x^{2}+x^{2}=0
Tāpirihia te -7 ki te 7, ka 0.
0=0
Pahekotia te -x^{2} me x^{2}, ka 0.
\text{true}
Whakatauritea te 0 me te 0.
x\in \mathrm{C}
He pono tēnei mō tētahi x ahakoa.
-x^{2}+5x^{3}-7-5x^{3}=-x^{2}-7
Tangohia te 5x^{3} mai i ngā taha e rua.
-x^{2}-7=-x^{2}-7
Pahekotia te 5x^{3} me -5x^{3}, ka 0.
-x^{2}-7+x^{2}=-7
Me tāpiri te x^{2} ki ngā taha e rua.
-x^{2}-7+x^{2}+7=0
Me tāpiri te 7 ki ngā taha e rua.
-x^{2}+x^{2}=0
Tāpirihia te -7 ki te 7, ka 0.
0=0
Pahekotia te -x^{2} me x^{2}, ka 0.
\text{true}
Whakatauritea te 0 me te 0.
x\in \mathrm{R}
He pono tēnei mō tētahi x ahakoa.