Whakaoti i te (8314*273)^2*(a^2-01a)=231*10^6

$$( 8314 \times 273 ) ^ { 2 } \times ( a ^ { 2 } - 01 a ) = 231 \times 10 ^ { 6 }$$

Whakaoti mō a

$$a=\frac{500\sqrt{231}}{1134861}\approx 0.006696276$$

$$a=-\frac{500\sqrt{231}}{1134861}\approx -0.006696276$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te 8314 ki te 273, ka 2269722.

$$2269722^{2}\left(a^{2}-0\times 1a\right)=231\times 10^{6}$$

Tātaihia te 2269722 mā te pū o 2, kia riro ko 5151637957284.

$$5151637957284\left(a^{2}-0\times 1a\right)=231\times 10^{6}$$

Whakareatia te 0 ki te 1, ka 0.

$$5151637957284\left(a^{2}-0a\right)=231\times 10^{6}$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$5151637957284\left(a^{2}-0\right)=231\times 10^{6}$$

Tātaihia te 10 mā te pū o 6, kia riro ko 1000000.

$$5151637957284\left(a^{2}-0\right)=231\times 1000000$$

Whakareatia te 231 ki te 1000000, ka 231000000.

$$5151637957284\left(a^{2}-0\right)=231000000$$

Whakawehea ngā taha e rua ki te 5151637957284.

$$a^{2}-0=\frac{231000000}{5151637957284}$$

Whakahekea te hautanga \frac{231000000}{5151637957284} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 84.

$$a^{2}-0=\frac{2750000}{61329023301}$$

Whakaraupapatia anō ngā kīanga tau.

$$a^{2}=\frac{2750000}{61329023301}$$

Tuhia te pūtakerua o ngā taha e rua o te whārite.

$$a=\frac{500\sqrt{231}}{1134861} a=-\frac{500\sqrt{231}}{1134861}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te 8314 ki te 273, ka 2269722.

$$2269722^{2}\left(a^{2}-0\times 1a\right)=231\times 10^{6}$$

Tātaihia te 2269722 mā te pū o 2, kia riro ko 5151637957284.

$$5151637957284\left(a^{2}-0\times 1a\right)=231\times 10^{6}$$

Whakareatia te 0 ki te 1, ka 0.

$$5151637957284\left(a^{2}-0a\right)=231\times 10^{6}$$

Ko te tau i whakarea ki te kore ka hua ko te kore.

$$5151637957284\left(a^{2}-0\right)=231\times 10^{6}$$

Tātaihia te 10 mā te pū o 6, kia riro ko 1000000.

$$5151637957284\left(a^{2}-0\right)=231\times 1000000$$

Whakareatia te 231 ki te 1000000, ka 231000000.

$$5151637957284\left(a^{2}-0\right)=231000000$$

Tangohia te 231000000 mai i ngā taha e rua.

$$5151637957284\left(a^{2}-0\right)-231000000=0$$

Whakaraupapatia anō ngā kīanga tau.

$$5151637957284a^{2}-231000000=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 5151637957284 mō a, 0 mō b, me -231000000 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$a=\frac{0±\sqrt{0^{2}-4\times 5151637957284\left(-231000000\right)}}{2\times 5151637957284}$$

Pūrua 0.

$$a=\frac{0±\sqrt{-4\times 5151637957284\left(-231000000\right)}}{2\times 5151637957284}$$

Whakareatia -4 ki te 5151637957284.

$$a=\frac{0±\sqrt{-20606551829136\left(-231000000\right)}}{2\times 5151637957284}$$

Whakareatia -20606551829136 ki te -231000000.

$$a=\frac{0±\sqrt{4760113472530416000000}}{2\times 5151637957284}$$

Tuhia te pūtakerua o te 4760113472530416000000.

$$a=\frac{0±4539444000\sqrt{231}}{2\times 5151637957284}$$

Whakareatia 2 ki te 5151637957284.

$$a=\frac{0±4539444000\sqrt{231}}{10303275914568}$$

Nā, me whakaoti te whārite a=\frac{0±4539444000\sqrt{231}}{10303275914568} ina he tāpiri te ±.

$$a=\frac{500\sqrt{231}}{1134861}$$

Nā, me whakaoti te whārite a=\frac{0±4539444000\sqrt{231}}{10303275914568} ina he tango te ±.

$$a=-\frac{500\sqrt{231}}{1134861}$$

Kua oti te whārite te whakatau.

$$a=\frac{500\sqrt{231}}{1134861} a=-\frac{500\sqrt{231}}{1134861}$$