Whakaoti i te 2*4/x^2=0.8

$$\frac{ 2 \times 4 }{ { x }^{ 2 } } =0.8$$

Whakaoti mō x

$$x=\sqrt{10}\approx 3.16227766$$

$$x=-\sqrt{10}\approx -3.16227766$$

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^{2}.

$$2\times 4=0.8x^{2}$$

Whakareatia te 2 ki te 4, ka 8.

$$8=0.8x^{2}$$

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

$$0.8x^{2}=8$$

Whakawehea ngā taha e rua ki te 0.8.

$$x^{2}=\frac{8}{0.8}$$

Whakarohaina te \frac{8}{0.8} mā te whakarea i te taurunga me te tauraro ki te 10.

$$x^{2}=\frac{80}{8}$$

Whakawehea te 80 ki te 8, kia riro ko 10.

$$x^{2}=10$$

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

$$x=\sqrt{10} x=-\sqrt{10}$$

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^{2}.

$$2\times 4=0.8x^{2}$$

Whakareatia te 2 ki te 4, ka 8.

$$8=0.8x^{2}$$

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

$$0.8x^{2}=8$$

Tangohia te 8 mai i ngā taha e rua.

$$0.8x^{2}-8=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 0.8 mō a, 0 mō b, me -8 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 0.8\left(-8\right)}}{2\times 0.8}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 0.8\left(-8\right)}}{2\times 0.8}$$

Whakareatia -4 ki te 0.8.

$$x=\frac{0±\sqrt{-3.2\left(-8\right)}}{2\times 0.8}$$

Whakareatia -3.2 ki te -8.

$$x=\frac{0±\sqrt{25.6}}{2\times 0.8}$$

Tuhia te pūtakerua o te 25.6.

$$x=\frac{0±\frac{8\sqrt{10}}{5}}{2\times 0.8}$$

Whakareatia 2 ki te 0.8.

$$x=\frac{0±\frac{8\sqrt{10}}{5}}{1.6}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{8\sqrt{10}}{5}}{1.6} ina he tāpiri te ±.

$$x=\sqrt{10}$$

Nā, me whakaoti te whārite x=\frac{0±\frac{8\sqrt{10}}{5}}{1.6} ina he tango te ±.

$$x=-\sqrt{10}$$

Kua oti te whārite te whakatau.

$$x=\sqrt{10} x=-\sqrt{10}$$