Whakaoti i te x^2=25+625-x^2

$${ x }^{ 2 } =25+625- { x }^{ 2 }$$

Whakaoti mō x

$$x=5\sqrt{13}\approx 18.027756377$$

$$x=-5\sqrt{13}\approx -18.027756377$$

Ngā Upane mā te Kimi Pūtakerua

Tāpirihia te 25 ki te 625, ka 650.

$$x^{2}=650-x^{2}$$

Me tāpiri te x^{2} ki ngā taha e rua.

$$x^{2}+x^{2}=650$$

Pahekotia te x^{2} me x^{2}, ka 2x^{2}.

$$2x^{2}=650$$

Whakawehea ngā taha e rua ki te 2.

$$x^{2}=\frac{650}{2}$$

Whakawehea te 650 ki te 2, kia riro ko 325.

$$x^{2}=325$$

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

$$x=5\sqrt{13} x=-5\sqrt{13}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tāpirihia te 25 ki te 625, ka 650.

$$x^{2}=650-x^{2}$$

Tangohia te 650 mai i ngā taha e rua.

$$x^{2}-650=-x^{2}$$

Me tāpiri te x^{2} ki ngā taha e rua.

$$x^{2}-650+x^{2}=0$$

Pahekotia te x^{2} me x^{2}, ka 2x^{2}.

$$2x^{2}-650=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 2 mō a, 0 mō b, me -650 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-650\right)}}{2\times 2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-650\right)}}{2\times 2}$$

Whakareatia -4 ki te 2.

$$x=\frac{0±\sqrt{-8\left(-650\right)}}{2\times 2}$$

Whakareatia -8 ki te -650.

$$x=\frac{0±\sqrt{5200}}{2\times 2}$$

Tuhia te pūtakerua o te 5200.

$$x=\frac{0±20\sqrt{13}}{2\times 2}$$

Whakareatia 2 ki te 2.

$$x=\frac{0±20\sqrt{13}}{4}$$

Nā, me whakaoti te whārite x=\frac{0±20\sqrt{13}}{4} ina he tāpiri te ±.

$$x=5\sqrt{13}$$

Nā, me whakaoti te whārite x=\frac{0±20\sqrt{13}}{4} ina he tango te ±.

$$x=-5\sqrt{13}$$

Kua oti te whārite te whakatau.

$$x=5\sqrt{13} x=-5\sqrt{13}$$