Whakaoti i te 140=19[1+45*10^-3(T-200)]

$$140 = 19 [ 1 + 45 \times 10 ^ { - 3 } ( T - 200 ) ]$$

Whakaoti mō T

$$T = \frac{58400}{171} = 341\frac{89}{171} \approx 341.520467836$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ngā taha e rua ki te 19.

$$\frac{140}{19}=1+45\times 10^{-3}\left(T-200\right)$$

Tātaihia te 10 mā te pū o -3, kia riro ko \frac{1}{1000}.

$$\frac{140}{19}=1+45\times \frac{1}{1000}\left(T-200\right)$$

Whakareatia te 45 ki te \frac{1}{1000}, ka \frac{9}{200}.

$$\frac{140}{19}=1+\frac{9}{200}\left(T-200\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te \frac{9}{200} ki te T-200.

$$\frac{140}{19}=1+\frac{9}{200}T-9$$

Tangohia te 9 i te 1, ka -8.

$$\frac{140}{19}=-8+\frac{9}{200}T$$

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

$$-8+\frac{9}{200}T=\frac{140}{19}$$

Me tāpiri te 8 ki ngā taha e rua.

$$\frac{9}{200}T=\frac{140}{19}+8$$

Tāpirihia te \frac{140}{19} ki te 8, ka \frac{292}{19}.

$$\frac{9}{200}T=\frac{292}{19}$$

Me whakarea ngā taha e rua ki te \frac{200}{9}, te tau utu o \frac{9}{200}.

$$T=\frac{292}{19}\times \frac{200}{9}$$

Whakareatia te \frac{292}{19} ki te \frac{200}{9}, ka \frac{58400}{171}.

$$T=\frac{58400}{171}$$