Réitigh B(6)-A(6)=5000(1+46%/4)^24-5000(1+4.5%)^6

$$B ( 6 ) - A ( 6 ) = 5000 ( 1 + \frac { 46 \% } { 4 } ) ^ { 24 } - 5000 ( 1 + 4.5 \% ) ^ { 6 }$$

Réitigh do A.

$$A=B-10275.7573661003795573605550886065096894916352618741902033984661102294921875$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Laghdaigh an codán \frac{46}{100} chuig na téarmaí is ísle trí 2 a bhaint agus a chealú.

$$B\times 6-A\times 6=5000\left(1+\frac{\frac{23}{50}}{4}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Scríobh \frac{\frac{23}{50}}{4} mar chodán aonair.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{50\times 4}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Méadaigh 50 agus 4 chun 200 a fháil.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{200}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Suimigh 1 agus \frac{23}{200} chun \frac{223}{200} a fháil.

$$B\times 6-A\times 6=5000\times \left(\frac{223}{200}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Ríomh cumhacht \frac{223}{200} de 24 agus faigh \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}.

$$B\times 6-A\times 6=5000\times \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Méadaigh 5000 agus \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} chun \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} a fháil.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Fairsingigh \frac{4.5}{100} tríd an t-uimhreoir agus an t-ainmneoir araon a iolrú faoi 10.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{45}{1000}\right)^{6}$$

Laghdaigh an codán \frac{45}{1000} chuig na téarmaí is ísle trí 5 a bhaint agus a chealú.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{9}{200}\right)^{6}$$

Suimigh 1 agus \frac{9}{200} chun \frac{209}{200} a fháil.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \left(\frac{209}{200}\right)^{6}$$

Ríomh cumhacht \frac{209}{200} de 6 agus faigh \frac{83344647990241}{64000000000000}.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \frac{83344647990241}{64000000000000}$$

Méadaigh 5000 agus \frac{83344647990241}{64000000000000} chun \frac{83344647990241}{12800000000} a fháil.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-\frac{83344647990241}{12800000000}$$

Dealaigh \frac{83344647990241}{12800000000} ó \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} chun \frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} a fháil.

$$B\times 6-A\times 6=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

Méadaigh -1 agus 6 chun -6 a fháil.

$$B\times 6-6A=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

Bain B\times 6 ón dá thaobh.

$$-6A=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-B\times 6$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$-6A=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B$$

Roinn an dá thaobh faoi -6.

$$\frac{-6A}{-6}=\frac{\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B}{-6}$$

Má roinntear é faoi -6 cuirtear an iolrúchán faoi -6 ar ceal.

$$A=\frac{\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B}{-6}$$

Roinn \frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B faoi -6.

$$A=B-\frac{68959440357862858206328969040580220826677637992671941547}{6710886400000000000000000000000000000000000000000000}$$

Réitigh do B.

$$B=A+10275.7573661003795573605550886065096894916352618741902033984661102294921875$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Laghdaigh an codán \frac{46}{100} chuig na téarmaí is ísle trí 2 a bhaint agus a chealú.

$$B\times 6-A\times 6=5000\left(1+\frac{\frac{23}{50}}{4}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Scríobh \frac{\frac{23}{50}}{4} mar chodán aonair.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{50\times 4}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Méadaigh 50 agus 4 chun 200 a fháil.

$$B\times 6-A\times 6=5000\left(1+\frac{23}{200}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Suimigh 1 agus \frac{23}{200} chun \frac{223}{200} a fháil.

$$B\times 6-A\times 6=5000\times \left(\frac{223}{200}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Ríomh cumhacht \frac{223}{200} de 24 agus faigh \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}.

$$B\times 6-A\times 6=5000\times \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Méadaigh 5000 agus \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} chun \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} a fháil.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{4.5}{100}\right)^{6}$$

Fairsingigh \frac{4.5}{100} tríd an t-uimhreoir agus an t-ainmneoir araon a iolrú faoi 10.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{45}{1000}\right)^{6}$$

Laghdaigh an codán \frac{45}{1000} chuig na téarmaí is ísle trí 5 a bhaint agus a chealú.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{9}{200}\right)^{6}$$

Suimigh 1 agus \frac{9}{200} chun \frac{209}{200} a fháil.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \left(\frac{209}{200}\right)^{6}$$

Ríomh cumhacht \frac{209}{200} de 6 agus faigh \frac{83344647990241}{64000000000000}.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \frac{83344647990241}{64000000000000}$$

Méadaigh 5000 agus \frac{83344647990241}{64000000000000} chun \frac{83344647990241}{12800000000} a fháil.

$$B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-\frac{83344647990241}{12800000000}$$

Dealaigh \frac{83344647990241}{12800000000} ó \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} chun \frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} a fháil.

$$B\times 6-A\times 6=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

Cuir A\times 6 leis an dá thaobh.

$$B\times 6=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}+A\times 6$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$6B=6A+\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}$$

Roinn an dá thaobh faoi 6.

$$\frac{6B}{6}=\frac{6A+\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}}{6}$$

Má roinntear é faoi 6 cuirtear an iolrúchán faoi 6 ar ceal.

$$B=\frac{6A+\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}}{6}$$

Roinn \frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}+6A faoi 6.

$$B=A+\frac{68959440357862858206328969040580220826677637992671941547}{6710886400000000000000000000000000000000000000000000}$$