B ( 6 ) - A ( 6 ) = 5000 ( 1 + \frac { 46 \% } { 4 } ) ^ { 24 } - 5000 ( 1 + 4.5 \% ) ^ { 6 }
求解 A 的值
A=B-10275.7573661003795573605550886065096894916352618741902033984661102294921875
求解 B 的值
B=A+10275.7573661003795573605550886065096894916352618741902033984661102294921875
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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}
通过求根和消去 2，将分数 \frac{46}{100} 降低为最简分数。
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}
将 \frac{\frac{23}{50}}{4} 化为简分数。
B\times 6-A\times 6=5000\left(1+\frac{23}{200}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}
将 50 与 4 相乘，得到 200。
B\times 6-A\times 6=5000\times \left(\frac{223}{200}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}
1 与 \frac{23}{200} 相加，得到 \frac{223}{200}。
B\times 6-A\times 6=5000\times \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}-5000\left(1+\frac{4.5}{100}\right)^{6}
计算 24 的 \frac{223}{200} 乘方，得到 \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}。
B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{4.5}{100}\right)^{6}
将 5000 与 \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} 相乘，得到 \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}。
B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{45}{1000}\right)^{6}
将分子和分母同时乘以 10 以展开 \frac{4.5}{100}。
B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{9}{200}\right)^{6}
通过求根和消去 5，将分数 \frac{45}{1000} 降低为最简分数。
B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \left(\frac{209}{200}\right)^{6}
1 与 \frac{9}{200} 相加，得到 \frac{209}{200}。
B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \frac{83344647990241}{64000000000000}
计算 6 的 \frac{209}{200} 乘方，得到 \frac{83344647990241}{64000000000000}。
B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-\frac{83344647990241}{12800000000}
将 5000 与 \frac{83344647990241}{64000000000000} 相乘，得到 \frac{83344647990241}{12800000000}。
B\times 6-A\times 6=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}
将 \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} 减去 \frac{83344647990241}{12800000000}，得到 \frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}。
B\times 6-6A=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}
将 -1 与 6 相乘，得到 -6。
-6A=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-B\times 6
将方程式两边同时减去 B\times 6。
-6A=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B
该公式采用标准形式。
\frac{-6A}{-6}=\frac{\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B}{-6}
两边同时除以 -6。
A=\frac{\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B}{-6}
除以 -6 是乘以 -6 的逆运算。
A=B-\frac{68959440357862858206328969040580220826677637992671941547}{6710886400000000000000000000000000000000000000000000}
\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-6B 除以 -6。
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}
通过求根和消去 2，将分数 \frac{46}{100} 降低为最简分数。
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}
将 \frac{\frac{23}{50}}{4} 化为简分数。
B\times 6-A\times 6=5000\left(1+\frac{23}{200}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}
将 50 与 4 相乘，得到 200。
B\times 6-A\times 6=5000\times \left(\frac{223}{200}\right)^{24}-5000\left(1+\frac{4.5}{100}\right)^{6}
1 与 \frac{23}{200} 相加，得到 \frac{223}{200}。
B\times 6-A\times 6=5000\times \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}-5000\left(1+\frac{4.5}{100}\right)^{6}
计算 24 的 \frac{223}{200} 乘方，得到 \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000}。
B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{4.5}{100}\right)^{6}
将 5000 与 \frac{228726620476342311322986907121740662480032913978015824641}{16777216000000000000000000000000000000000000000000000000} 相乘，得到 \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}。
B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{45}{1000}\right)^{6}
将分子和分母同时乘以 10 以展开 \frac{4.5}{100}。
B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\left(1+\frac{9}{200}\right)^{6}
通过求根和消去 5，将分数 \frac{45}{1000} 降低为最简分数。
B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \left(\frac{209}{200}\right)^{6}
1 与 \frac{9}{200} 相加，得到 \frac{209}{200}。
B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-5000\times \frac{83344647990241}{64000000000000}
计算 6 的 \frac{209}{200} 乘方，得到 \frac{83344647990241}{64000000000000}。
B\times 6-A\times 6=\frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}-\frac{83344647990241}{12800000000}
将 5000 与 \frac{83344647990241}{64000000000000} 相乘，得到 \frac{83344647990241}{12800000000}。
B\times 6-A\times 6=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}
将 \frac{228726620476342311322986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000} 减去 \frac{83344647990241}{12800000000}，得到 \frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}。
B\times 6=\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}+A\times 6
将 A\times 6 添加到两侧。
6B=6A+\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}
该公式采用标准形式。
\frac{6B}{6}=\frac{6A+\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}}{6}
两边同时除以 6。
B=\frac{6A+\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}}{6}
除以 6 是乘以 6 的逆运算。
B=A+\frac{68959440357862858206328969040580220826677637992671941547}{6710886400000000000000000000000000000000000000000000}
\frac{206878321073588574618986907121740662480032913978015824641}{3355443200000000000000000000000000000000000000000000}+6A 除以 6。
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