Whakaoti i te 4096=x^2

$$4096= { x }^{ 2 }$$

Whakaoti mō x

$$x=64$$

$$x=-64$$

Ngā Hipanga Whakamahi Rerekētanga o ngā Pūrua

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

$$x^{2}=4096$$

Tangohia te 4096 mai i ngā taha e rua.

$$x^{2}-4096=0$$

Whakaarohia te x^{2}-4096. Tuhia anō te x^{2}-4096 hei x^{2}-64^{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).

$$\left(x-64\right)\left(x+64\right)=0$$

Hei kimi otinga whārite, me whakaoti te x-64=0 me te x+64=0.

$$x=64 x=-64$$

Ngā Upane mā te Kimi Pūtakerua

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

$$x^{2}=4096$$

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

$$x=64 x=-64$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$x^{2}=4096$$

Tangohia te 4096 mai i ngā taha e rua.

$$x^{2}-4096=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -4096 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-4096\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-4096\right)}}{2}$$

Whakareatia -4 ki te -4096.

$$x=\frac{0±\sqrt{16384}}{2}$$

Tuhia te pūtakerua o te 16384.

$$x=\frac{0±128}{2}$$

Nā, me whakaoti te whārite x=\frac{0±128}{2} ina he tāpiri te ±. Whakawehe 128 ki te 2.

$$x=64$$

Nā, me whakaoti te whārite x=\frac{0±128}{2} ina he tango te ±. Whakawehe -128 ki te 2.

$$x=-64$$

Kua oti te whārite te whakatau.

$$x=64 x=-64$$