Whakaoti i te 6371.634^2=6371^2+x^2

$${ 6371.634 }^{ 2 } = { 6371 }^{ 2 } + { x }^{ 2 }$$

Whakaoti mō x

$$x = \frac{\sqrt{2019707489}}{500} \approx 89.882311697$$

$$x = -\frac{\sqrt{2019707489}}{500} \approx -89.882311697$$

Ngā Upane mā te Kimi Pūtakerua

Tātaihia te 6371.634 mā te pū o 2, kia riro ko 40597719.829956.

$$40597719.829956=6371^{2}+x^{2}$$

Tātaihia te 6371 mā te pū o 2, kia riro ko 40589641.

$$40597719.829956=40589641+x^{2}$$

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

$$40589641+x^{2}=40597719.829956$$

Tangohia te 40589641 mai i ngā taha e rua.

$$x^{2}=40597719.829956-40589641$$

Tangohia te 40589641 i te 40597719.829956, ka 8078.829956.

$$x^{2}=8078.829956$$

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

$$x=\frac{\sqrt{2019707489}}{500} x=-\frac{\sqrt{2019707489}}{500}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaihia te 6371.634 mā te pū o 2, kia riro ko 40597719.829956.

$$40597719.829956=6371^{2}+x^{2}$$

Tātaihia te 6371 mā te pū o 2, kia riro ko 40589641.

$$40597719.829956=40589641+x^{2}$$

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

$$40589641+x^{2}=40597719.829956$$

Tangohia te 40597719.829956 mai i ngā taha e rua.

$$40589641+x^{2}-40597719.829956=0$$

Tangohia te 40597719.829956 i te 40589641, ka -8078.829956.

$$-8078.829956+x^{2}=0$$

Ko ngā tikanga tātai pūrua pēnei i tēnei nā, me te kīanga tau x^{2} engari kāore he kīanga tau x, ka taea tonu te whakaoti mā te whakamahi i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ina tuhia ki te tānga ngahuru: ax^{2}+bx+c=0.

$$x^{2}-8078.829956=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -8078.829956 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-8078.829956\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-8078.829956\right)}}{2}$$

Whakareatia -4 ki te -8078.829956.

$$x=\frac{0±\sqrt{32315.319824}}{2}$$

Tuhia te pūtakerua o te 32315.319824.

$$x=\frac{0±\frac{\sqrt{2019707489}}{250}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{2019707489}}{250}}{2} ina he tāpiri te ±.

$$x=\frac{\sqrt{2019707489}}{500}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{\sqrt{2019707489}}{250}}{2} ina he tango te ±.

$$x=-\frac{\sqrt{2019707489}}{500}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{2019707489}}{500} x=-\frac{\sqrt{2019707489}}{500}$$