Whakaoti i te 1.5*10^5+0.5*10^3*5^2+10^5=x+0.5*{10}^3*{2.5}^2

$$1.5 \times { 10 }^{ 5 } +0.5 \times { 10 }^{ 3 } \times { 5 }^{ 2 } + { 10 }^{ 5 } =x+0.5 \times { 10 }^{ 3 } \times { 2.5 }^{ 2 }$$

Whakaoti mō x

$$x=259375$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tātaihia te 10 mā te pū o 5, kia riro ko 100000.

$$1.5\times 100000+0.5\times 10^{3}\times 5^{2}+10^{5}=x+0.5\times 10^{3}\times 2.5^{2}$$

Whakareatia te 1.5 ki te 100000, ka 150000.

$$150000+0.5\times 10^{3}\times 5^{2}+10^{5}=x+0.5\times 10^{3}\times 2.5^{2}$$

Tātaihia te 10 mā te pū o 3, kia riro ko 1000.

$$150000+0.5\times 1000\times 5^{2}+10^{5}=x+0.5\times 10^{3}\times 2.5^{2}$$

Whakareatia te 0.5 ki te 1000, ka 500.

$$150000+500\times 5^{2}+10^{5}=x+0.5\times 10^{3}\times 2.5^{2}$$

Tātaihia te 5 mā te pū o 2, kia riro ko 25.

$$150000+500\times 25+10^{5}=x+0.5\times 10^{3}\times 2.5^{2}$$

Whakareatia te 500 ki te 25, ka 12500.

$$150000+12500+10^{5}=x+0.5\times 10^{3}\times 2.5^{2}$$

Tāpirihia te 150000 ki te 12500, ka 162500.

$$162500+10^{5}=x+0.5\times 10^{3}\times 2.5^{2}$$

Tātaihia te 10 mā te pū o 5, kia riro ko 100000.

$$162500+100000=x+0.5\times 10^{3}\times 2.5^{2}$$

Tāpirihia te 162500 ki te 100000, ka 262500.

$$262500=x+0.5\times 10^{3}\times 2.5^{2}$$

Tātaihia te 10 mā te pū o 3, kia riro ko 1000.

$$262500=x+0.5\times 1000\times 2.5^{2}$$

Whakareatia te 0.5 ki te 1000, ka 500.

$$262500=x+500\times 2.5^{2}$$

Tātaihia te 2.5 mā te pū o 2, kia riro ko 6.25.

$$262500=x+500\times 6.25$$

Whakareatia te 500 ki te 6.25, ka 3125.

$$262500=x+3125$$

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

$$x+3125=262500$$

Tangohia te 3125 mai i ngā taha e rua.

$$x=262500-3125$$

Tangohia te 3125 i te 262500, ka 259375.

$$x=259375$$