10 100 | = | 1 | + | X | ÷ | ( | 1 | + | 2 100 | ) | − | 1 |
| 方程两边同时乘以: | ( | 1 | + | 2 100 | ) |
10 100 | ( | 1 | + | 2 100 | ) | = | 1 | ( | 1 | + | 2 100 | ) | + | X | − | 1 | ( | 1 | + | 2 100 | ) |
10 100 | × | 1 | + | 10 100 | × | 2 100 | = | 1 | ( | 1 | + | 2 100 | ) | + | X | − | 1 | ( | 1 | + | 2 100 | ) |
10 100 | × | 1 | + | 10 100 | × | 2 100 | = | 1 | × | 1 | + | 1 | × | 2 100 | + | X | − | 1 | ( | 1 | + | 2 100 | ) |
1 10 | + | 1 500 | = | 1 | + | 1 50 | + | X | − | 1 | ( | 1 | + | 2 100 | ) |
51 500 | = | 51 50 | + | X | − | 1 | ( | 1 | + | 2 100 | ) |
51 500 | = | 51 50 | + | X | − | 1 | × | 1 | − | 1 | × | 2 100 |
51 500 | = | 51 50 | + | X | − | 1 | − | 1 50 |
51 500 | = | 0 | + | X |
| - | X | = | - | 51 500 |
51 500 | = | X |
| X | = | 51 500 |