1 10 | = | 100 | x | ÷ | ( | 1 | + | x | ) |
方程两边同时乘以: | ( | 1 | + | x | ) |
1 10 | ( | 1 | + | x | ) | = | 100 | x |
1 10 | × | 1 | + | 1 10 | x | = | 100 | x |
1 10 | + | 1 10 | x | = | 100 | x |
1 10 | x | − | 100 | x | = | - | 1 10 |
- | 999 10 | x | = | - | 1 10 |
1 10 | = | 999 10 | x |
999 10 | x | = | 1 10 |
x | = | 1 10 | ÷ | 999 10 |
= | 1 10 | × | 10 999 |
= | 1 | × | 1 999 |
x | = | 1 999 |
x | = | 0.001001 |