Whakaoti i te -681000=left(2248-3441right)40000+x*3600-05*40000*(140^2-70^2)

$$-681000 = \left( 2248-3441 \right) 40000+x \times 3600-05 \times 40000 \times ( { 140 }^{ 2 } - { 70 }^{ 2 } )$$

Whakaoti mō x

$$x = \frac{235195}{18} = 13066\frac{7}{18} \approx 13066.388888889$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tangohia te 3441 i te 2248, ka -1193.

$$-681000=-1193\times 40000+x\times 3600-0\times 5\times 40000\left(140^{2}-70^{2}\right)$$

Whakareatia te -1193 ki te 40000, ka -47720000.

$$-681000=-47720000+x\times 3600-0\times 5\times 40000\left(140^{2}-70^{2}\right)$$

Whakareatia te 0 ki te 5, ka 0.

$$-681000=-47720000+x\times 3600-0\times 40000\left(140^{2}-70^{2}\right)$$

Whakareatia te 0 ki te 40000, ka 0.

$$-681000=-47720000+x\times 3600-0\left(140^{2}-70^{2}\right)$$

Tātaihia te 140 mā te pū o 2, kia riro ko 19600.

$$-681000=-47720000+x\times 3600-0\left(19600-70^{2}\right)$$

Tātaihia te 70 mā te pū o 2, kia riro ko 4900.

$$-681000=-47720000+x\times 3600-0\left(19600-4900\right)$$

Tangohia te 4900 i te 19600, ka 14700.

$$-681000=-47720000+x\times 3600-0\times 14700$$

Whakareatia te 0 ki te 14700, ka 0.

$$-681000=-47720000+x\times 3600-0$$

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

$$-47720000+x\times 3600-0=-681000$$

Me tāpiri te 0 ki ngā taha e rua.

$$-47720000+x\times 3600=-681000+0$$

Tāpirihia te -681000 ki te 0, ka -681000.

$$-47720000+x\times 3600=-681000$$

Me tāpiri te 47720000 ki ngā taha e rua.

$$x\times 3600=-681000+47720000$$

Tāpirihia te -681000 ki te 47720000, ka 47039000.

$$x\times 3600=47039000$$

Whakawehea ngā taha e rua ki te 3600.

$$x=\frac{47039000}{3600}$$

Whakahekea te hautanga \frac{47039000}{3600} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 200.

$$x=\frac{235195}{18}$$