Whakaoti i te x=100(.09)^2+100(.09)^3+100(.09)^4+100(.09)^4

$$x = 100 ( .09 ) ^ { 2 } + 100 ( .09 ) ^ { 3 } + 100 ( .09 ) ^ { 4 } + 100 ( .09 ) ^ { 4 }$$

Whakaoti mō x

$$x=0.896022$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 0.09 mā te pū o 2, kia riro ko 0.0081.

$$x=100\times 0.0081+100\times 0.09^{3}+100\times 0.09^{4}+100\times 0.09^{4}$$

Whakareatia te 100 ki te 0.0081, ka 0.81.

$$x=0.81+100\times 0.09^{3}+100\times 0.09^{4}+100\times 0.09^{4}$$

Tātaihia te 0.09 mā te pū o 3, kia riro ko 0.000729.

$$x=0.81+100\times 0.000729+100\times 0.09^{4}+100\times 0.09^{4}$$

Whakareatia te 100 ki te 0.000729, ka 0.0729.

$$x=0.81+0.0729+100\times 0.09^{4}+100\times 0.09^{4}$$

Tāpirihia te 0.81 ki te 0.0729, ka 0.8829.

$$x=0.8829+100\times 0.09^{4}+100\times 0.09^{4}$$

Tātaihia te 0.09 mā te pū o 4, kia riro ko 0.00006561.

$$x=0.8829+100\times 0.00006561+100\times 0.09^{4}$$

Whakareatia te 100 ki te 0.00006561, ka 0.006561.

$$x=0.8829+0.006561+100\times 0.09^{4}$$

Tāpirihia te 0.8829 ki te 0.006561, ka 0.889461.

$$x=0.889461+100\times 0.09^{4}$$

Tātaihia te 0.09 mā te pū o 4, kia riro ko 0.00006561.

$$x=0.889461+100\times 0.00006561$$

Whakareatia te 100 ki te 0.00006561, ka 0.006561.

$$x=0.889461+0.006561$$

Tāpirihia te 0.889461 ki te 0.006561, ka 0.896022.

$$x=0.896022$$

Tautapa x

$$x≔0.896022$$