Whakaoti i te 1330=16x^2

$$1330=16 { x }^{ 2 }$$

Whakaoti mō x

$$x = \frac{\sqrt{1330}}{4} \approx 9.117291264$$

$$x = -\frac{\sqrt{1330}}{4} \approx -9.117291264$$

Ngā Upane mā te Kimi Pūtakerua

Whakawehea ngā taha e rua ki te 16.

$$\frac{1330}{16}=x^{2}$$

Whakahekea te hautanga \frac{1330}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{665}{8}=x^{2}$$

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

$$x^{2}=\frac{665}{8}$$

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

$$x=\frac{\sqrt{1330}}{4} x=-\frac{\sqrt{1330}}{4}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakawehea ngā taha e rua ki te 16.

$$\frac{1330}{16}=x^{2}$$

Whakahekea te hautanga \frac{1330}{16} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$\frac{665}{8}=x^{2}$$

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

$$x^{2}=\frac{665}{8}$$

Tangohia te \frac{665}{8} mai i ngā taha e rua.

$$x^{2}-\frac{665}{8}=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -\frac{665}{8} mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{665}{8}\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-\frac{665}{8}\right)}}{2}$$

Whakareatia -4 ki te -\frac{665}{8}.

$$x=\frac{0±\sqrt{\frac{665}{2}}}{2}$$

Tuhia te pūtakerua o te \frac{665}{2}.

$$x=\frac{0±\frac{\sqrt{1330}}{2}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{1330}}{2}}{2} ina he tāpiri te ±.

$$x=\frac{\sqrt{1330}}{4}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{1330}}{2}}{2} ina he tango te ±.

$$x=-\frac{\sqrt{1330}}{4}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{1330}}{4} x=-\frac{\sqrt{1330}}{4}$$