Réitigh 1=6.67x10^-11*2*2/(D)^2

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

Réitigh do x.

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

$$D\neq 0$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Roinn an dá thaobh faoi 6.67.

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

Fairsingigh \frac{1}{6.67} tríd an t-uimhreoir agus an t-ainmneoir araon a iolrú faoi 100.

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

Iolraigh an dá thaobh den chothromóid faoi 667D^{2}, an comhiolraí is lú de 667,D^{2}.

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

Ríomh cumhacht 10 de -11 agus faigh \frac{1}{100000000000}.

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

Méadaigh 667 agus \frac{1}{100000000000} chun \frac{667}{100000000000} a fháil.

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

Méadaigh \frac{667}{100000000000} agus 2 chun \frac{667}{50000000000} a fháil.

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

Méadaigh \frac{667}{50000000000} agus 2 chun \frac{667}{25000000000} a fháil.

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

Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.

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

Roinn an dá thaobh den chothromóid faoi \frac{667}{25000000000}, arb ionann é sin agus an dá thaobh a mhéadú faoi dheilín an chodáin.

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

Má roinntear é faoi \frac{667}{25000000000} cuirtear an iolrúchán faoi \frac{667}{25000000000} ar ceal.

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

Roinn 100D^{2} faoi \frac{667}{25000000000} trí 100D^{2} a mhéadú faoi dheilín \frac{667}{25000000000}.

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

Réitigh do D. (complex solution)

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

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

Réitigh do D.

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

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