Whakaoti i te 30=x*145x

$$30=x \times 145x$$

Whakaoti mō x

$$x=\frac{\sqrt{174}}{29}\approx 0.454858826$$

$$x=-\frac{\sqrt{174}}{29}\approx -0.454858826$$

Ngā Upane mā te Kimi Pūtakerua

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

$$30=x^{2}\times 145$$

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

$$x^{2}\times 145=30$$

Whakawehea ngā taha e rua ki te 145.

$$x^{2}=\frac{30}{145}$$

Whakahekea te hautanga \frac{30}{145} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$x^{2}=\frac{6}{29}$$

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

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

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$30=x^{2}\times 145$$

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

$$x^{2}\times 145=30$$

Tangohia te 30 mai i ngā taha e rua.

$$x^{2}\times 145-30=0$$

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.

$$145x^{2}-30=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 145 mō a, 0 mō b, me -30 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 145\left(-30\right)}}{2\times 145}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 145\left(-30\right)}}{2\times 145}$$

Whakareatia -4 ki te 145.

$$x=\frac{0±\sqrt{-580\left(-30\right)}}{2\times 145}$$

Whakareatia -580 ki te -30.

$$x=\frac{0±\sqrt{17400}}{2\times 145}$$

Tuhia te pūtakerua o te 17400.

$$x=\frac{0±10\sqrt{174}}{2\times 145}$$

Whakareatia 2 ki te 145.

$$x=\frac{0±10\sqrt{174}}{290}$$

Nā, me whakaoti te whārite x=\frac{0±10\sqrt{174}}{290} ina he tāpiri te ±.

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

Nā, me whakaoti te whārite x=\frac{0±10\sqrt{174}}{290} ina he tango te ±.

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

Kua oti te whārite te whakatau.

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