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419904=a^{2}-704\times 648-352^{2}
Tātaihia te 648 mā te pū o 2, kia riro ko 419904.
419904=a^{2}-456192-352^{2}
Whakareatia te 704 ki te 648, ka 456192.
419904=a^{2}-456192-123904
Tātaihia te 352 mā te pū o 2, kia riro ko 123904.
419904=a^{2}-580096
Tangohia te 123904 i te -456192, ka -580096.
a^{2}-580096=419904
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
a^{2}-580096-419904=0
Tangohia te 419904 mai i ngā taha e rua.
a^{2}-1000000=0
Tangohia te 419904 i te -580096, ka -1000000.
\left(a-1000\right)\left(a+1000\right)=0
Whakaarohia te a^{2}-1000000. Tuhia anō te a^{2}-1000000 hei a^{2}-1000^{2}. Ka taea te rerekētanga o ngā pūrua te whakatauwehe mā te ture: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).
a=1000 a=-1000
Hei kimi otinga whārite, me whakaoti te a-1000=0 me te a+1000=0.
419904=a^{2}-704\times 648-352^{2}
Tātaihia te 648 mā te pū o 2, kia riro ko 419904.
419904=a^{2}-456192-352^{2}
Whakareatia te 704 ki te 648, ka 456192.
419904=a^{2}-456192-123904
Tātaihia te 352 mā te pū o 2, kia riro ko 123904.
419904=a^{2}-580096
Tangohia te 123904 i te -456192, ka -580096.
a^{2}-580096=419904
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
a^{2}=419904+580096
Me tāpiri te 580096 ki ngā taha e rua.
a^{2}=1000000
Tāpirihia te 419904 ki te 580096, ka 1000000.
a=1000 a=-1000
Tuhia te pūtakerua o ngā taha e rua o te whārite.
419904=a^{2}-704\times 648-352^{2}
Tātaihia te 648 mā te pū o 2, kia riro ko 419904.
419904=a^{2}-456192-352^{2}
Whakareatia te 704 ki te 648, ka 456192.
419904=a^{2}-456192-123904
Tātaihia te 352 mā te pū o 2, kia riro ko 123904.
419904=a^{2}-580096
Tangohia te 123904 i te -456192, ka -580096.
a^{2}-580096=419904
Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.
a^{2}-580096-419904=0
Tangohia te 419904 mai i ngā taha e rua.
a^{2}-1000000=0
Tangohia te 419904 i te -580096, ka -1000000.
a=\frac{0±\sqrt{0^{2}-4\left(-1000000\right)}}{2}
Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -1000000 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.
a=\frac{0±\sqrt{-4\left(-1000000\right)}}{2}
Pūrua 0.
a=\frac{0±\sqrt{4000000}}{2}
Whakareatia -4 ki te -1000000.
a=\frac{0±2000}{2}
Tuhia te pūtakerua o te 4000000.
a=1000
Nā, me whakaoti te whārite a=\frac{0±2000}{2} ina he tāpiri te ±. Whakawehe 2000 ki te 2.
a=-1000
Nā, me whakaoti te whārite a=\frac{0±2000}{2} ina he tango te ±. Whakawehe -2000 ki te 2.
a=1000 a=-1000
Kua oti te whārite te whakatau.