User:Delmont43/Recursive equations
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Recursive equations can often be solved using the technique shown below:
Example 1
[edit]- Given:
- Multiply both sides by 10:
- Subtract equation 1 from equation 2.:
- Simplify:
Example 2
[edit]- Given:
- Square both sides:
- Simplify:
- Add equation 1 to equation 3.:
- Simplify:
Generalizing:
- Given:
- Square both sides:
- Simplify:
- Add equation 1 to equation 3.:
- Simplify: