Whakaoti i te 6371634^2=6371^2+x^2

$${ 6371634 }^{ 2 } = { 6371 }^{ 2 } + { x }^{ 2 }$$

Whakaoti mō x

$$x=\sqrt{40597679240315}\approx 6371630.814816172$$

$$x=-\sqrt{40597679240315}\approx -6371630.814816172$$

Ngā Upane mā te Kimi Pūtakerua

Tātaihia te 6371634 mā te pū o 2, kia riro ko 40597719829956.

$$40597719829956=6371^{2}+x^{2}$$

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

$$40597719829956=40589641+x^{2}$$

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

$$40589641+x^{2}=40597719829956$$

Tangohia te 40589641 mai i ngā taha e rua.

$$x^{2}=40597719829956-40589641$$

Tangohia te 40589641 i te 40597719829956, ka 40597679240315.

$$x^{2}=40597679240315$$

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

$$x=\sqrt{40597679240315} x=-\sqrt{40597679240315}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tātaihia te 6371634 mā te pū o 2, kia riro ko 40597719829956.

$$40597719829956=6371^{2}+x^{2}$$

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

$$40597719829956=40589641+x^{2}$$

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

$$40589641+x^{2}=40597719829956$$

Tangohia te 40597719829956 mai i ngā taha e rua.

$$40589641+x^{2}-40597719829956=0$$

Tangohia te 40597719829956 i te 40589641, ka -40597679240315.

$$-40597679240315+x^{2}=0$$

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.

$$x^{2}-40597679240315=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1 mō a, 0 mō b, me -40597679240315 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-40597679240315\right)}}{2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-40597679240315\right)}}{2}$$

Whakareatia -4 ki te -40597679240315.

$$x=\frac{0±\sqrt{162390716961260}}{2}$$

Tuhia te pūtakerua o te 162390716961260.

$$x=\frac{0±2\sqrt{40597679240315}}{2}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{40597679240315}}{2} ina he tāpiri te ±.

$$x=\sqrt{40597679240315}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{40597679240315}}{2} ina he tango te ±.

$$x=-\sqrt{40597679240315}$$

Kua oti te whārite te whakatau.

$$x=\sqrt{40597679240315} x=-\sqrt{40597679240315}$$