Réitigh 1003/1002*1001^2=A/1002+B/1001+C/1001^2

$$\frac { 1003 } { 1002 \times 1001 ^ { 2 } } = \frac { A } { 1002 } + \frac { B } { 1001 } + \frac { C } { 1001 ^ { 2 } }$$

Réitigh do A.

$$A=-\frac{1002B}{1001}-\frac{1002C}{1002001}+\frac{1003}{1002001}$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Iolraigh an dá thaobh den chothromóid faoi 1003002, an comhiolraí is lú de 1002,1001.

$$\frac{1}{1001}\times 1003=1001A+1002B+\frac{1002}{1001}C$$

Méadaigh \frac{1}{1001} agus 1003 chun \frac{1003}{1001} a fháil.

$$\frac{1003}{1001}=1001A+1002B+\frac{1002}{1001}C$$

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

$$1001A+1002B+\frac{1002}{1001}C=\frac{1003}{1001}$$

Bain 1002B ón dá thaobh.

$$1001A+\frac{1002}{1001}C=\frac{1003}{1001}-1002B$$

Bain \frac{1002}{1001}C ón dá thaobh.

$$1001A=\frac{1003}{1001}-1002B-\frac{1002}{1001}C$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$1001A=-\frac{1002C}{1001}-1002B+\frac{1003}{1001}$$

Roinn an dá thaobh faoi 1001.

$$\frac{1001A}{1001}=\frac{-\frac{1002C}{1001}-1002B+\frac{1003}{1001}}{1001}$$

Má roinntear é faoi 1001 cuirtear an iolrúchán faoi 1001 ar ceal.

$$A=\frac{-\frac{1002C}{1001}-1002B+\frac{1003}{1001}}{1001}$$

Roinn \frac{1003}{1001}-1002B-\frac{1002C}{1001} faoi 1001.

$$A=-\frac{1002B}{1001}-\frac{1002C}{1002001}+\frac{1003}{1002001}$$

Réitigh do B.

$$B=-\frac{C}{1001}-\frac{1001A}{1002}+\frac{1003}{1003002}$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Iolraigh an dá thaobh den chothromóid faoi 1003002, an comhiolraí is lú de 1002,1001.

$$\frac{1}{1001}\times 1003=1001A+1002B+\frac{1002}{1001}C$$

Méadaigh \frac{1}{1001} agus 1003 chun \frac{1003}{1001} a fháil.

$$\frac{1003}{1001}=1001A+1002B+\frac{1002}{1001}C$$

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

$$1001A+1002B+\frac{1002}{1001}C=\frac{1003}{1001}$$

Bain 1001A ón dá thaobh.

$$1002B+\frac{1002}{1001}C=\frac{1003}{1001}-1001A$$

Bain \frac{1002}{1001}C ón dá thaobh.

$$1002B=\frac{1003}{1001}-1001A-\frac{1002}{1001}C$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$1002B=-\frac{1002C}{1001}-1001A+\frac{1003}{1001}$$

Roinn an dá thaobh faoi 1002.

$$\frac{1002B}{1002}=\frac{-\frac{1002C}{1001}-1001A+\frac{1003}{1001}}{1002}$$

Má roinntear é faoi 1002 cuirtear an iolrúchán faoi 1002 ar ceal.

$$B=\frac{-\frac{1002C}{1001}-1001A+\frac{1003}{1001}}{1002}$$

Roinn \frac{1003}{1001}-1001A-\frac{1002C}{1001} faoi 1002.

$$B=-\frac{C}{1001}-\frac{1001A}{1002}+\frac{1003}{1003002}$$