Whakaoti i te x=2184000*12^3(12-1)/12^3-1

$$x = \frac { 2184000 \cdot 12 ^ { 3 } ( 12 - 1 ) } { 12 ^ { 3 } - 1 }$$

Whakaoti mō x

$$x = \frac{3773952000}{157} = 24037910\frac{130}{157} \approx 24037910.828025478$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 12 mā te pū o 3, kia riro ko 1728.

$$x=\frac{2184000\times 1728\left(12-1\right)}{12^{3}-1}$$

Whakareatia te 2184000 ki te 1728, ka 3773952000.

$$x=\frac{3773952000\left(12-1\right)}{12^{3}-1}$$

Tangohia te 1 i te 12, ka 11.

$$x=\frac{3773952000\times 11}{12^{3}-1}$$

Whakareatia te 3773952000 ki te 11, ka 41513472000.

$$x=\frac{41513472000}{12^{3}-1}$$

Tātaihia te 12 mā te pū o 3, kia riro ko 1728.

$$x=\frac{41513472000}{1728-1}$$

Tangohia te 1 i te 1728, ka 1727.

$$x=\frac{41513472000}{1727}$$

Whakahekea te hautanga \frac{41513472000}{1727} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 11.

$$x=\frac{3773952000}{157}$$

Tautapa x

$$x≔\frac{3773952000}{157}$$