Whakaoti i te 24=(xdiv3)*40x

$$24=(x \div 3) \times 40x$$

Whakaoti mō x

$$x = \frac{3 \sqrt{5}}{5} \approx 1.341640786$$

$$x = -\frac{3 \sqrt{5}}{5} \approx -1.341640786$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia ngā taha e rua o te whārite ki te 3.

$$72=x\times 40x$$

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

$$72=x^{2}\times 40$$

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

$$x^{2}\times 40=72$$

Whakawehea ngā taha e rua ki te 40.

$$x^{2}=\frac{72}{40}$$

Whakahekea te hautanga \frac{72}{40} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 8.

$$x^{2}=\frac{9}{5}$$

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

$$x=\frac{3\sqrt{5}}{5} x=-\frac{3\sqrt{5}}{5}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia ngā taha e rua o te whārite ki te 3.

$$72=x\times 40x$$

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

$$72=x^{2}\times 40$$

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

$$x^{2}\times 40=72$$

Tangohia te 72 mai i ngā taha e rua.

$$x^{2}\times 40-72=0$$

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.

$$40x^{2}-72=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 40 mō a, 0 mō b, me -72 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 40\left(-72\right)}}{2\times 40}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 40\left(-72\right)}}{2\times 40}$$

Whakareatia -4 ki te 40.

$$x=\frac{0±\sqrt{-160\left(-72\right)}}{2\times 40}$$

Whakareatia -160 ki te -72.

$$x=\frac{0±\sqrt{11520}}{2\times 40}$$

Tuhia te pūtakerua o te 11520.

$$x=\frac{0±48\sqrt{5}}{2\times 40}$$

Whakareatia 2 ki te 40.

$$x=\frac{0±48\sqrt{5}}{80}$$

Nā, me whakaoti te whārite x=\frac{0±48\sqrt{5}}{80} ina he tāpiri te ±.

$$x=\frac{3\sqrt{5}}{5}$$

Nā, me whakaoti te whārite x=\frac{0±48\sqrt{5}}{80} ina he tango te ±.

$$x=-\frac{3\sqrt{5}}{5}$$

Kua oti te whārite te whakatau.

$$x=\frac{3\sqrt{5}}{5} x=-\frac{3\sqrt{5}}{5}$$