Whakaoti i te (720x)x=2592

$$(720x)x = 2592$$

Whakaoti mō x

$$x = \frac{3 \sqrt{10}}{5} \approx 1.897366596$$

$$x = -\frac{3 \sqrt{10}}{5} \approx -1.897366596$$

Ngā Upane mā te Kimi Pūtakerua

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

$$720x^{2}=2592$$

Whakawehea ngā taha e rua ki te 720.

$$x^{2}=\frac{2592}{720}$$

Whakahekea te hautanga \frac{2592}{720} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 144.

$$x^{2}=\frac{18}{5}$$

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

$$x=\frac{3\sqrt{10}}{5} x=-\frac{3\sqrt{10}}{5}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

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

$$720x^{2}=2592$$

Tangohia te 2592 mai i ngā taha e rua.

$$720x^{2}-2592=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 720 mō a, 0 mō b, me -2592 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 720\left(-2592\right)}}{2\times 720}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 720\left(-2592\right)}}{2\times 720}$$

Whakareatia -4 ki te 720.

$$x=\frac{0±\sqrt{-2880\left(-2592\right)}}{2\times 720}$$

Whakareatia -2880 ki te -2592.

$$x=\frac{0±\sqrt{7464960}}{2\times 720}$$

Tuhia te pūtakerua o te 7464960.

$$x=\frac{0±864\sqrt{10}}{2\times 720}$$

Whakareatia 2 ki te 720.

$$x=\frac{0±864\sqrt{10}}{1440}$$

Nā, me whakaoti te whārite x=\frac{0±864\sqrt{10}}{1440} ina he tāpiri te ±.

$$x=\frac{3\sqrt{10}}{5}$$

Nā, me whakaoti te whārite x=\frac{0±864\sqrt{10}}{1440} ina he tango te ±.

$$x=-\frac{3\sqrt{10}}{5}$$

Kua oti te whārite te whakatau.

$$x=\frac{3\sqrt{10}}{5} x=-\frac{3\sqrt{10}}{5}$$