Whakaoti i te x^2+x^2=2222222

$${ x }^{ 2 } + { x }^{ 2 } =2222222$$

Whakaoti mō x

$$x=\sqrt{1111111}\approx 1054.092500685$$

$$x=-\sqrt{1111111}\approx -1054.092500685$$

Ngā Upane mā te Kimi Pūtakerua

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

$$2x^{2}=2222222$$

Whakawehea ngā taha e rua ki te 2.

$$x^{2}=\frac{2222222}{2}$$

Whakawehea te 2222222 ki te 2, kia riro ko 1111111.

$$x^{2}=1111111$$

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

$$x=\sqrt{1111111} x=-\sqrt{1111111}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$2x^{2}=2222222$$

Tangohia te 2222222 mai i ngā taha e rua.

$$2x^{2}-2222222=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 2 mō a, 0 mō b, me -2222222 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-2222222\right)}}{2\times 2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-2222222\right)}}{2\times 2}$$

Whakareatia -4 ki te 2.

$$x=\frac{0±\sqrt{-8\left(-2222222\right)}}{2\times 2}$$

Whakareatia -8 ki te -2222222.

$$x=\frac{0±\sqrt{17777776}}{2\times 2}$$

Tuhia te pūtakerua o te 17777776.

$$x=\frac{0±4\sqrt{1111111}}{2\times 2}$$

Whakareatia 2 ki te 2.

$$x=\frac{0±4\sqrt{1111111}}{4}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{1111111}}{4} ina he tāpiri te ±.

$$x=\sqrt{1111111}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{1111111}}{4} ina he tango te ±.

$$x=-\sqrt{1111111}$$

Kua oti te whārite te whakatau.

$$x=\sqrt{1111111} x=-\sqrt{1111111}$$