Whakaoti i te 1=6.67x10^-11*2*2/(D)^2

$$1 = 6.67 \frac { x 10 ^ { - 11 } \times 2 \times 2 } { ( D ) ^ { 2 } }$$

Whakaoti mō x

$$x=\frac{2500000000000D^{2}}{667}$$

$$D\neq 0$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawehea ngā taha e rua ki te 6.67.

$$\frac{1}{6.67}=\frac{x\times 10^{-11}\times 2\times 2}{D^{2}}$$

Whakarohaina te \frac{1}{6.67} mā te whakarea i te taurunga me te tauraro ki te 100.

$$\frac{100}{667}=\frac{x\times 10^{-11}\times 2\times 2}{D^{2}}$$

Me whakarea ngā taha e rua o te whārite ki te 667D^{2}, arā, te tauraro pātahi he tino iti rawa te kitea o 667,D^{2}.

$$100D^{2}=667x\times 10^{-11}\times 2\times 2$$

Tātaihia te 10 mā te pū o -11, kia riro ko \frac{1}{100000000000}.

$$100D^{2}=667x\times \frac{1}{100000000000}\times 2\times 2$$

Whakareatia te 667 ki te \frac{1}{100000000000}, ka \frac{667}{100000000000}.

$$100D^{2}=\frac{667}{100000000000}x\times 2\times 2$$

Whakareatia te \frac{667}{100000000000} ki te 2, ka \frac{667}{50000000000}.

$$100D^{2}=\frac{667}{50000000000}x\times 2$$

Whakareatia te \frac{667}{50000000000} ki te 2, ka \frac{667}{25000000000}.

$$100D^{2}=\frac{667}{25000000000}x$$

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

$$\frac{667}{25000000000}x=100D^{2}$$

Whakawehea ngā taha e rua o te whārite ki te \frac{667}{25000000000}, he ōrite ki te whakarea i ngā taha e rua ki te tau huripoki o te hautanga.

$$\frac{\frac{667}{25000000000}x}{\frac{667}{25000000000}}=\frac{100D^{2}}{\frac{667}{25000000000}}$$

Mā te whakawehe ki te \frac{667}{25000000000} ka wetekia te whakareanga ki te \frac{667}{25000000000}.

$$x=\frac{100D^{2}}{\frac{667}{25000000000}}$$

Whakawehe 100D^{2} ki te \frac{667}{25000000000} mā te whakarea 100D^{2} ki te tau huripoki o \frac{667}{25000000000}.

$$x=\frac{2500000000000D^{2}}{667}$$

Whakaoti mō D (complex solution)

$$D=-\frac{\sqrt{6670x}}{5000000}$$

$$D=\frac{\sqrt{6670x}}{5000000}\text{, }x\neq 0$$

Whakaoti mō D

$$D=\frac{\sqrt{6670x}}{5000000}$$

$$D=-\frac{\sqrt{6670x}}{5000000}\text{, }x>0$$