Whakaoti i te 1,024=h^2

$$1,024 = h ^ { 2 }$$

Whakaoti mō h

$$h=32$$

$$h=-32$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

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

$$h^{2}=1024$$

Tangohia te 1024 mai i ngā taha e rua.

$$h^{2}-1024=0$$

Whakaarohia te h^{2}-1024. Tuhia anō te h^{2}-1024 hei h^{2}-32^{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).

$$\left(h-32\right)\left(h+32\right)=0$$

Hei kimi otinga whārite, me whakaoti te h-32=0 me te h+32=0.

$$h=32 h=-32$$

Ngā Upane mā te Kimi Pūtakerua

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

$$h^{2}=1024$$

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

$$h=32 h=-32$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$h^{2}=1024$$

Tangohia te 1024 mai i ngā taha e rua.

$$h^{2}-1024=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -1024 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$h=\frac{0±\sqrt{0^{2}-4\left(-1024\right)}}{2}$$

Pūrua 0.

$$h=\frac{0±\sqrt{-4\left(-1024\right)}}{2}$$

Whakareatia -4 ki te -1024.

$$h=\frac{0±\sqrt{4096}}{2}$$

Tuhia te pūtakerua o te 4096.

$$h=\frac{0±64}{2}$$

Nā, me whakaoti te whārite h=\frac{0±64}{2} ina he tāpiri te ±. Whakawehe 64 ki te 2.

$$h=32$$

Nā, me whakaoti te whārite h=\frac{0±64}{2} ina he tango te ±. Whakawehe -64 ki te 2.

$$h=-32$$

Kua oti te whārite te whakatau.

$$h=32 h=-32$$