22 25 | X | ÷ | ( | 1 | + | ( | X | − | 1 | ) | × | 22 25 | ) | = | 24 25 |
| 方程两边同时乘以: | ( | 1 | + | ( | X | − | 1 | ) | × | 22 25 | ) |
22 25 | X | = | 24 25 | ( | 1 | + | ( | X | − | 1 | ) | × | 22 25 | ) |
22 25 | X | = | 24 25 | × | 1 | + | 24 25 | ( | X | − | 1 | ) | × | 22 25 |
22 25 | X | = | 24 25 | + | 528 625 | ( | X | − | 1 | ) |
22 25 | X | = | 24 25 | + | 528 625 | X | − | 528 625 | × | 1 |
22 25 | X | = | 24 25 | + | 528 625 | X | − | 528 625 |
22 25 | X | = | 72 625 | + | 528 625 | X |
22 25 | X | − | 528 625 | X | = | 72 625 |
22 625 | X | = | 72 625 |
| X | = | 72 625 | ÷ | 22 625 |
| = | 72 625 | × | 625 22 |
| = | 36 | × | 1 11 |
| X | = | 36 11 |
| X | = | 3.272727 |