Whakaoti i te x^2*9*9*9=4895123

$${ x }^{ 2 } \times 9 \times 9 \times 9=4895123$$

Whakaoti mō x

$$x = \frac{\sqrt{4895123}}{27} \approx 81.944166143$$

$$x = -\frac{\sqrt{4895123}}{27} \approx -81.944166143$$

Ngā Upane mā te Kimi Pūtakerua

Whakareatia te 9 ki te 9, ka 81.

$$x^{2}\times 81\times 9=4895123$$

Whakareatia te 81 ki te 9, ka 729.

$$x^{2}\times 729=4895123$$

Whakawehea ngā taha e rua ki te 729.

$$x^{2}=\frac{4895123}{729}$$

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

$$x=\frac{\sqrt{4895123}}{27} x=-\frac{\sqrt{4895123}}{27}$$

Ngā Upane e Whakamahi ana i te Tikanga Tātai Pūrua

Whakareatia te 9 ki te 9, ka 81.

$$x^{2}\times 81\times 9=4895123$$

Whakareatia te 81 ki te 9, ka 729.

$$x^{2}\times 729=4895123$$

Tangohia te 4895123 mai i ngā taha e rua.

$$x^{2}\times 729-4895123=0$$

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.

$$729x^{2}-4895123=0$$

Kei te āhua arowhānui tēnei whārite: ax^{2}+bx+c=0. Me whakakapi 729 mō a, 0 mō b, me -4895123 mō c i te tikanga tātai pūrua, \frac{-b±\sqrt{b^{2}-4ac}}{2a}.

$$x=\frac{0±\sqrt{0^{2}-4\times 729\left(-4895123\right)}}{2\times 729}$$

Pūrua 0.

$$x=\frac{0±\sqrt{-4\times 729\left(-4895123\right)}}{2\times 729}$$

Whakareatia -4 ki te 729.

$$x=\frac{0±\sqrt{-2916\left(-4895123\right)}}{2\times 729}$$

Whakareatia -2916 ki te -4895123.

$$x=\frac{0±\sqrt{14274178668}}{2\times 729}$$

Tuhia te pūtakerua o te 14274178668.

$$x=\frac{0±54\sqrt{4895123}}{2\times 729}$$

Whakareatia 2 ki te 729.

$$x=\frac{0±54\sqrt{4895123}}{1458}$$

Nā, me whakaoti te whārite x=\frac{0±54\sqrt{4895123}}{1458} ina he tāpiri te ±.

$$x=\frac{\sqrt{4895123}}{27}$$

Nā, me whakaoti te whārite x=\frac{0±54\sqrt{4895123}}{1458} ina he tango te ±.

$$x=-\frac{\sqrt{4895123}}{27}$$

Kua oti te whārite te whakatau.

$$x=\frac{\sqrt{4895123}}{27} x=-\frac{\sqrt{4895123}}{27}$$