Whakaoti i te 30/x=2x

$$\frac{ 30 }{ x } =2x$$

Whakaoti mō x

$$x=\sqrt{15}\approx 3.872983346$$

$$x=-\sqrt{15}\approx -3.872983346$$

Ngā Upane mā te Kimi Pūtakerua

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x.

$$30=2xx$$

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

$$30=2x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$2x^{2}=30$$

Whakawehea ngā taha e rua ki te 2.

$$x^{2}=\frac{30}{2}$$

Whakawehea te 30 ki te 2, kia riro ko 15.

$$x^{2}=15$$

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

$$x=\sqrt{15} x=-\sqrt{15}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Tē taea kia ōrite te tāupe x ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te x.

$$30=2xx$$

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

$$30=2x^{2}$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$2x^{2}=30$$

Tangohia te 30 mai i ngā taha e rua.

$$2x^{2}-30=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 2 mō a, 0 mō b, me -30 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 2\left(-30\right)}}{2\times 2}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 2\left(-30\right)}}{2\times 2}$$

Whakareatia -4 ki te 2.

$$x=\frac{0±\sqrt{-8\left(-30\right)}}{2\times 2}$$

Whakareatia -8 ki te -30.

$$x=\frac{0±\sqrt{240}}{2\times 2}$$

Tuhia te pūtakerua o te 240.

$$x=\frac{0±4\sqrt{15}}{2\times 2}$$

Whakareatia 2 ki te 2.

$$x=\frac{0±4\sqrt{15}}{4}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{15}}{4} ina he tāpiri te ±.

$$x=\sqrt{15}$$

Nā, me whakaoti te whārite x=\frac{0±4\sqrt{15}}{4} ina he tango te ±.

$$x=-\sqrt{15}$$

Kua oti te whārite te whakatau.

$$x=\sqrt{15} x=-\sqrt{15}$$