Whakaoti i te 120x*-6x=6

$$120x \times -6x=6$$

Whakaoti mō x (complex solution)

$$x=-\frac{\sqrt{30}i}{60}\approx -0-0.091287093i$$

$$x=\frac{\sqrt{30}i}{60}\approx 0.091287093i$$

Ngā Upane mā te Kimi Pūtakerua

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

$$120x^{2}\left(-6\right)=6$$

Whakareatia te 120 ki te -6, ka -720.

$$-720x^{2}=6$$

Whakawehea ngā taha e rua ki te -720.

$$x^{2}=\frac{6}{-720}$$

Whakahekea te hautanga \frac{6}{-720} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$x^{2}=-\frac{1}{120}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{30}i}{60} x=-\frac{\sqrt{30}i}{60}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$120x^{2}\left(-6\right)=6$$

Whakareatia te 120 ki te -6, ka -720.

$$-720x^{2}=6$$

Tangohia te 6 mai i ngā taha e rua.

$$-720x^{2}-6=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi -720 mō a, 0 mō b, me -6 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\left(-720\right)\left(-6\right)}}{2\left(-720\right)}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\left(-720\right)\left(-6\right)}}{2\left(-720\right)}$$

Whakareatia -4 ki te -720.

$$x=\frac{0±\sqrt{2880\left(-6\right)}}{2\left(-720\right)}$$

Whakareatia 2880 ki te -6.

$$x=\frac{0±\sqrt{-17280}}{2\left(-720\right)}$$

Tuhia te pūtakerua o te -17280.

$$x=\frac{0±24\sqrt{30}i}{2\left(-720\right)}$$

Whakareatia 2 ki te -720.

$$x=\frac{0±24\sqrt{30}i}{-1440}$$

Nā, me whakaoti te whārite x=\frac{0±24\sqrt{30}i}{-1440} ina he tāpiri te ±.

$$x=-\frac{\sqrt{30}i}{60}$$

Nā, me whakaoti te whārite x=\frac{0±24\sqrt{30}i}{-1440} ina he tango te ±.

$$x=\frac{\sqrt{30}i}{60}$$

Kua oti te whārite te whakatau.

$$x=-\frac{\sqrt{30}i}{60} x=\frac{\sqrt{30}i}{60}$$