Whakaoti i te 30=x*1.45x

$$30=x \times 1.45x$$

Whakaoti mō x

$$x = \frac{10 \sqrt{174}}{29} \approx 4.548588261$$

$$x = -\frac{10 \sqrt{174}}{29} \approx -4.548588261$$

Ngā Upane mā te Kimi Pūtakerua

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

$$30=x^{2}\times 1.45$$

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

$$x^{2}\times 1.45=30$$

Whakawehea ngā taha e rua ki te 1.45.

$$x^{2}=\frac{30}{1.45}$$

Whakarohaina te \frac{30}{1.45} mā te whakarea i te taurunga me te tauraro ki te 100.

$$x^{2}=\frac{3000}{145}$$

Whakahekea te hautanga \frac{3000}{145} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x^{2}=\frac{600}{29}$$

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

$$x=\frac{10\sqrt{174}}{29} x=-\frac{10\sqrt{174}}{29}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$30=x^{2}\times 1.45$$

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

$$x^{2}\times 1.45=30$$

Tangohia te 30 mai i ngā taha e rua.

$$x^{2}\times 1.45-30=0$$

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.

$$1.45x^{2}-30=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 1.45 mō a, 0 mō b, me -30 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 1.45\left(-30\right)}}{2\times 1.45}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 1.45\left(-30\right)}}{2\times 1.45}$$

Whakareatia -4 ki te 1.45.

$$x=\frac{0±\sqrt{-5.8\left(-30\right)}}{2\times 1.45}$$

Whakareatia -5.8 ki te -30.

$$x=\frac{0±\sqrt{174}}{2\times 1.45}$$

Whakareatia 2 ki te 1.45.

$$x=\frac{0±\sqrt{174}}{2.9}$$

Nā, me whakaoti te whārite x=\frac{0±\sqrt{174}}{2.9} ina he tāpiri te ±.

$$x=\frac{10\sqrt{174}}{29}$$

Nā, me whakaoti te whārite x=\frac{0±\sqrt{174}}{2.9} ina he tango te ±.

$$x=-\frac{10\sqrt{174}}{29}$$

Kua oti te whārite te whakatau.

$$x=\frac{10\sqrt{174}}{29} x=-\frac{10\sqrt{174}}{29}$$