Whakaoti i te x*2x=400000

$$x \times 2x = 400000$$

Whakaoti mō x

$$x=200\sqrt{5}\approx 447.2135955$$

$$x=-200\sqrt{5}\approx -447.2135955$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te x ki te x, ka x^{2}.

$$x^{2}\times 2=400000$$

Whakawehea ngā taha e rua ki te 2.

$$x^{2}=\frac{400000}{2}$$

Whakawehea te 400000 ki te 2, kia riro ko 200000.

$$x^{2}=200000$$

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

$$x=200\sqrt{5} x=-200\sqrt{5}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te x ki te x, ka x^{2}.

$$x^{2}\times 2=400000$$

Tangohia te 400000 mai i ngā taha e rua.

$$x^{2}\times 2-400000=0$$

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.

$$2x^{2}-400000=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 2 mō a, 0 mō b, me -400000 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-400000\right)}}{2\times 2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-400000\right)}}{2\times 2}$$

Whakareatia -4 ki te 2.

$$x=\frac{0±\sqrt{-8\left(-400000\right)}}{2\times 2}$$

Whakareatia -8 ki te -400000.

$$x=\frac{0±\sqrt{3200000}}{2\times 2}$$

Tuhia te pūtakerua o te 3200000.

$$x=\frac{0±800\sqrt{5}}{2\times 2}$$

Whakareatia 2 ki te 2.

$$x=\frac{0±800\sqrt{5}}{4}$$

Nā, me whakaoti te whārite x=\frac{0±800\sqrt{5}}{4} ina he tāpiri te ±.

$$x=200\sqrt{5}$$

Nā, me whakaoti te whārite x=\frac{0±800\sqrt{5}}{4} ina he tango te ±.

$$x=-200\sqrt{5}$$

Kua oti te whārite te whakatau.

$$x=200\sqrt{5} x=-200\sqrt{5}$$