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

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

A માટે ઉકેલો

$$A=B-10275.7573661003795573605550886065096894916352618741902033984661102294921875$$

રેખીય સમીકરણને ઉકેલવાના પગલા

2 બહાર કાઢીને અને રદ કરીને ન્યૂનતમ ટર્મ્સ પર અપૂર્ણાંક \frac{46}{100} ને ઘટાડો.

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

\frac{\frac{23}{50}}{4} ને એકલ અપૂર્ણાંક તરીકે દર્શાવો.

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

200 મેળવવા માટે 50 સાથે 4 નો ગુણાકાર કરો.

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

\frac{223}{200}મેળવવા માટે 1 અને \frac{23}{200} ને ઍડ કરો.

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

24 ના \frac{223}{200} ની ગણના કરો અને \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} મેળવો.

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

\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} મેળવવા માટે 5000 સાથે \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} નો ગુણાકાર કરો.

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

અંશ અને છેદ બંનેનો 10 દ્વારા ગુણાકાર કરીને \frac{4.5}{100} ને વિસ્તૃત કરો.

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

5 બહાર કાઢીને અને રદ કરીને ન્યૂનતમ ટર્મ્સ પર અપૂર્ણાંક \frac{45}{1000} ને ઘટાડો.

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

\frac{209}{200}મેળવવા માટે 1 અને \frac{9}{200} ને ઍડ કરો.

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

6 ના \frac{209}{200} ની ગણના કરો અને \frac{83344647990241}{64000000000000} મેળવો.

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

\frac{83344647990241}{12800000000} મેળવવા માટે 5000 સાથે \frac{83344647990241}{64000000000000} નો ગુણાકાર કરો.

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

\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} મેળવવા માટે \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} માંથી \frac{83344647990241}{12800000000} ને ઘટાડો.

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

-6 મેળવવા માટે -1 સાથે 6 નો ગુણાકાર કરો.

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

બન્ને બાજુથી B\times 6 ઘટાડો.

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

સમીકરણ માનક ફૉર્મમાં છે.

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

બન્ને બાજુનો -6 થી ભાગાકાર કરો.

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

-6 થી ભાગાકાર કરવાથી -6 સાથે ગુણાકારને પૂર્વવત્ કરે છે.

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

\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B નો -6 થી ભાગાકાર કરો.

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

B માટે ઉકેલો

$$B=A+10275.7573661003795573605550886065096894916352618741902033984661102294921875$$

રેખીય સમીકરણને ઉકેલવાના પગલા

2 બહાર કાઢીને અને રદ કરીને ન્યૂનતમ ટર્મ્સ પર અપૂર્ણાંક \frac{46}{100} ને ઘટાડો.

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

\frac{\frac{23}{50}}{4} ને એકલ અપૂર્ણાંક તરીકે દર્શાવો.

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

200 મેળવવા માટે 50 સાથે 4 નો ગુણાકાર કરો.

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

\frac{223}{200}મેળવવા માટે 1 અને \frac{23}{200} ને ઍડ કરો.

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

24 ના \frac{223}{200} ની ગણના કરો અને \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} મેળવો.

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

\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} મેળવવા માટે 5000 સાથે \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} નો ગુણાકાર કરો.

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

અંશ અને છેદ બંનેનો 10 દ્વારા ગુણાકાર કરીને \frac{4.5}{100} ને વિસ્તૃત કરો.

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

5 બહાર કાઢીને અને રદ કરીને ન્યૂનતમ ટર્મ્સ પર અપૂર્ણાંક \frac{45}{1000} ને ઘટાડો.

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

\frac{209}{200}મેળવવા માટે 1 અને \frac{9}{200} ને ઍડ કરો.

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

6 ના \frac{209}{200} ની ગણના કરો અને \frac{83344647990241}{64000000000000} મેળવો.

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

\frac{83344647990241}{12800000000} મેળવવા માટે 5000 સાથે \frac{83344647990241}{64000000000000} નો ગુણાકાર કરો.

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

\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} મેળવવા માટે \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} માંથી \frac{83344647990241}{12800000000} ને ઘટાડો.

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

બંને સાઇડ્સ માટે A\times 6 ઍડ કરો.

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

સમીકરણ માનક ફૉર્મમાં છે.

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

બન્ને બાજુનો 6 થી ભાગાકાર કરો.

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

6 થી ભાગાકાર કરવાથી 6 સાથે ગુણાકારને પૂર્વવત્ કરે છે.

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

\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}+6A નો 6 થી ભાગાકાર કરો.

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