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

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

A ପାଇଁ ସମାଧାନ କରନ୍ତୁ

$$A=B-10275.7573661003795573605550886065096894916352618741902033984661102294921875$$

ରୈଖିକ ସମୀକରଣ ସମାଧାନ କରିବା ପାଇଁ ପଦକ୍ଷେପଗୁଡିକ

2 ବାହାର କରିବା ଏବଂ ବାତିଲ୍‌ କରିବା ଦ୍ୱାରା ନିମ୍ନତମ ପଦରେ ଅନ୍ତରାଳ \frac{46}{100} ହ୍ରାସ କରନ୍ତୁ.

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

\frac{\frac{23}{50}}{4} କୁ ଗୋଟିଏ ଏକକ ଭଗ୍ନାଂଶ ଭାବେ ପ୍ରକାଶ କରନ୍ତୁ.

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

200 ପ୍ରାପ୍ତ କରିବାକୁ 50 ଏବଂ 4 ଗୁଣନ କରନ୍ତୁ.

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

\frac{223}{200} ପ୍ରାପ୍ତ କରିବାକୁ 1 ଏବଂ \frac{23}{200} ଯୋଗ କରନ୍ତୁ.

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

24 ର \frac{223}{200} ପାୱାର୍‌ ହିସାବ କରନ୍ତୁ ଏବଂ \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} ପ୍ରାପ୍ତ କରନ୍ତୁ.

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

\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} ପ୍ରାପ୍ତ କରିବାକୁ 5000 ଏବଂ \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} ଗୁଣନ କରନ୍ତୁ.

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

ଉଭୟ ଲବ ଏବଂ ହରକୁ 10 ଦ୍ୱାରା ଗୁଣନ କରିବା ଦ୍ୱାରା \frac{4.5}{100} ପ୍ରସାରଣ କରନ୍ତୁ.

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

5 ବାହାର କରିବା ଏବଂ ବାତିଲ୍‌ କରିବା ଦ୍ୱାରା ନିମ୍ନତମ ପଦରେ ଅନ୍ତରାଳ \frac{45}{1000} ହ୍ରାସ କରନ୍ତୁ.

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

\frac{209}{200} ପ୍ରାପ୍ତ କରିବାକୁ 1 ଏବଂ \frac{9}{200} ଯୋଗ କରନ୍ତୁ.

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

6 ର \frac{209}{200} ପାୱାର୍‌ ହିସାବ କରନ୍ତୁ ଏବଂ \frac{83344647990241}{64000000000000} ପ୍ରାପ୍ତ କରନ୍ତୁ.

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

\frac{83344647990241}{12800000000} ପ୍ରାପ୍ତ କରିବାକୁ 5000 ଏବଂ \frac{83344647990241}{64000000000000} ଗୁଣନ କରନ୍ତୁ.

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

\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} ପ୍ରାପ୍ତ କରିବାକୁ \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} ଏବଂ \frac{83344647990241}{12800000000} ବିୟୋଗ କରନ୍ତୁ.

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

-6 ପ୍ରାପ୍ତ କରିବାକୁ -1 ଏବଂ 6 ଗୁଣନ କରନ୍ତୁ.

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

ଉଭୟ ପାର୍ଶ୍ୱରୁ B\times 6 ବିୟୋଗ କରନ୍ତୁ.

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

ସମୀକରଣ ମାନାଙ୍କ ରୂପରେ ରହିଛି.

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

ଉଭୟ ପାର୍ଶ୍ୱକୁ -6 ଦ୍ୱାରା ବିଭାଜନ କରନ୍ତୁ.

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

-6 ଦ୍ୱାରା ବିଭାଜନ କରିବା -6 ଦ୍ୱାରା ଗୁଣନକୁ ପୂର୍ବବତ୍‌ କରିଥାଏ.

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

\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B କୁ -6 ଦ୍ୱାରା ବିଭାଜନ କରନ୍ତୁ.

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

B ପାଇଁ ସମାଧାନ କରନ୍ତୁ

$$B=A+10275.7573661003795573605550886065096894916352618741902033984661102294921875$$

ରୈଖିକ ସମୀକରଣ ସମାଧାନ କରିବା ପାଇଁ ପଦକ୍ଷେପଗୁଡିକ

2 ବାହାର କରିବା ଏବଂ ବାତିଲ୍‌ କରିବା ଦ୍ୱାରା ନିମ୍ନତମ ପଦରେ ଅନ୍ତରାଳ \frac{46}{100} ହ୍ରାସ କରନ୍ତୁ.

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

\frac{\frac{23}{50}}{4} କୁ ଗୋଟିଏ ଏକକ ଭଗ୍ନାଂଶ ଭାବେ ପ୍ରକାଶ କରନ୍ତୁ.

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

200 ପ୍ରାପ୍ତ କରିବାକୁ 50 ଏବଂ 4 ଗୁଣନ କରନ୍ତୁ.

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

\frac{223}{200} ପ୍ରାପ୍ତ କରିବାକୁ 1 ଏବଂ \frac{23}{200} ଯୋଗ କରନ୍ତୁ.

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

24 ର \frac{223}{200} ପାୱାର୍‌ ହିସାବ କରନ୍ତୁ ଏବଂ \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} ପ୍ରାପ୍ତ କରନ୍ତୁ.

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

\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} ପ୍ରାପ୍ତ କରିବାକୁ 5000 ଏବଂ \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} ଗୁଣନ କରନ୍ତୁ.

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

ଉଭୟ ଲବ ଏବଂ ହରକୁ 10 ଦ୍ୱାରା ଗୁଣନ କରିବା ଦ୍ୱାରା \frac{4.5}{100} ପ୍ରସାରଣ କରନ୍ତୁ.

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

5 ବାହାର କରିବା ଏବଂ ବାତିଲ୍‌ କରିବା ଦ୍ୱାରା ନିମ୍ନତମ ପଦରେ ଅନ୍ତରାଳ \frac{45}{1000} ହ୍ରାସ କରନ୍ତୁ.

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

\frac{209}{200} ପ୍ରାପ୍ତ କରିବାକୁ 1 ଏବଂ \frac{9}{200} ଯୋଗ କରନ୍ତୁ.

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

6 ର \frac{209}{200} ପାୱାର୍‌ ହିସାବ କରନ୍ତୁ ଏବଂ \frac{83344647990241}{64000000000000} ପ୍ରାପ୍ତ କରନ୍ତୁ.

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

\frac{83344647990241}{12800000000} ପ୍ରାପ୍ତ କରିବାକୁ 5000 ଏବଂ \frac{83344647990241}{64000000000000} ଗୁଣନ କରନ୍ତୁ.

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

\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} ପ୍ରାପ୍ତ କରିବାକୁ \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} ଏବଂ \frac{83344647990241}{12800000000} ବିୟୋଗ କରନ୍ତୁ.

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

ଉଭୟ ପାର୍ଶ୍ଵକୁ A\times 6 ଯୋଡନ୍ତୁ.

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

ସମୀକରଣ ମାନାଙ୍କ ରୂପରେ ରହିଛି.

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

ଉଭୟ ପାର୍ଶ୍ୱକୁ 6 ଦ୍ୱାରା ବିଭାଜନ କରନ୍ତୁ.

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

6 ଦ୍ୱାରା ବିଭାଜନ କରିବା 6 ଦ୍ୱାରା ଗୁଣନକୁ ପୂର୍ବବତ୍‌ କରିଥାଏ.

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

\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}+6A କୁ 6 ଦ୍ୱାରା ବିଭାଜନ କରନ୍ତୁ.

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