Whakaoti i te 2x*7x=2

$$2x \times 7x=2$$

Whakaoti mō x

$$x=\frac{\sqrt{7}}{7}\approx 0.377964473$$

$$x=-\frac{\sqrt{7}}{7}\approx -0.377964473$$

Ngā Upane mā te Kimi Pūtakerua

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

$$2x^{2}\times 7=2$$

Whakareatia te 2 ki te 7, ka 14.

$$14x^{2}=2$$

Whakawehea ngā taha e rua ki te 14.

$$x^{2}=\frac{2}{14}$$

Whakahekea te hautanga \frac{2}{14} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$x^{2}=\frac{1}{7}$$

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

$$x=\frac{\sqrt{7}}{7} x=-\frac{\sqrt{7}}{7}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$2x^{2}\times 7=2$$

Whakareatia te 2 ki te 7, ka 14.

$$14x^{2}=2$$

Tangohia te 2 mai i ngā taha e rua.

$$14x^{2}-2=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 14 mō a, 0 mō b, me -2 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 14\left(-2\right)}}{2\times 14}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 14\left(-2\right)}}{2\times 14}$$

Whakareatia -4 ki te 14.

$$x=\frac{0±\sqrt{-56\left(-2\right)}}{2\times 14}$$

Whakareatia -56 ki te -2.

$$x=\frac{0±\sqrt{112}}{2\times 14}$$

Tuhia te pūtakerua o te 112.

$$x=\frac{0±4\sqrt{7}}{2\times 14}$$

Whakareatia 2 ki te 14.

$$x=\frac{0±4\sqrt{7}}{28}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{7}}{28} ina he tāpiri te ±.

$$x=\frac{\sqrt{7}}{7}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{7}}{28} ina he tango te ±.

$$x=-\frac{\sqrt{7}}{7}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{7}}{7} x=-\frac{\sqrt{7}}{7}$$