Whakaoti i te 2=15x^2-24

$$2 = 15 x ^ { 2 } - 24$$

Whakaoti mō x

$$x = \frac{\sqrt{390}}{15} \approx 1.316561177$$

$$x = -\frac{\sqrt{390}}{15} \approx -1.316561177$$

Ngā Upane mā te Kimi Pūtakerua

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

$$15x^{2}-24=2$$

Me tāpiri te 24 ki ngā taha e rua.

$$15x^{2}=2+24$$

Tāpirihia te 2 ki te 24, ka 26.

$$15x^{2}=26$$

Whakawehea ngā taha e rua ki te 15.

$$x^{2}=\frac{26}{15}$$

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

$$x=\frac{\sqrt{390}}{15} x=-\frac{\sqrt{390}}{15}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$15x^{2}-24=2$$

Tangohia te 2 mai i ngā taha e rua.

$$15x^{2}-24-2=0$$

Tangohia te 2 i te -24, ka -26.

$$15x^{2}-26=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 15 mō a, 0 mō b, me -26 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 15\left(-26\right)}}{2\times 15}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 15\left(-26\right)}}{2\times 15}$$

Whakareatia -4 ki te 15.

$$x=\frac{0±\sqrt{-60\left(-26\right)}}{2\times 15}$$

Whakareatia -60 ki te -26.

$$x=\frac{0±\sqrt{1560}}{2\times 15}$$

Tuhia te pūtakerua o te 1560.

$$x=\frac{0±2\sqrt{390}}{2\times 15}$$

Whakareatia 2 ki te 15.

$$x=\frac{0±2\sqrt{390}}{30}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{390}}{30} ina he tāpiri te ±.

$$x=\frac{\sqrt{390}}{15}$$

Nā, me whakaoti te whārite x=\frac{0±2\sqrt{390}}{30} ina he tango te ±.

$$x=-\frac{\sqrt{390}}{15}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{390}}{15} x=-\frac{\sqrt{390}}{15}$$