Whakaoti i te 1000=a*a*1

$$1000 = a \cdot a \cdot 1$$

Whakaoti mō a

$$a=10\sqrt{10}\approx 31.622776602$$

$$a=-10\sqrt{10}\approx -31.622776602$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te a ki te a, ka a^{2}.

$$1000=a^{2}\times 1$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$a^{2}\times 1=1000$$

Whakawehea ngā taha e rua ki te 1.

$$a^{2}=1000$$

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

$$a=10\sqrt{10} a=-10\sqrt{10}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te a ki te a, ka a^{2}.

$$1000=a^{2}\times 1$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$a^{2}\times 1=1000$$

Tangohia te 1000 mai i ngā taha e rua.

$$a^{2}\times 1-1000=0$$

Whakaraupapatia anō ngā kīanga tau.

$$a^{2}-1000=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -1000 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$a=\frac{0±\sqrt{0^{2}-4\left(-1000\right)}}{2}$$

Pūrua 0.

$$a=\frac{0±\sqrt{-4\left(-1000\right)}}{2}$$

Whakareatia -4 ki te -1000.

$$a=\frac{0±\sqrt{4000}}{2}$$

Tuhia te pūtakerua o te 4000.

$$a=\frac{0±20\sqrt{10}}{2}$$

Nā, me whakaoti te whārite a=\frac{0±20\sqrt{10}}{2} ina he tāpiri te ±.

$$a=10\sqrt{10}$$

Nā, me whakaoti te whārite a=\frac{0±20\sqrt{10}}{2} ina he tango te ±.

$$a=-10\sqrt{10}$$

Kua oti te whārite te whakatau.

$$a=10\sqrt{10} a=-10\sqrt{10}$$