Difference between revisions of "The Apple Method"
(→Examples) |
(→Examples) |
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An apple is used to make a clever algebraic substitution. | An apple is used to make a clever algebraic substitution. | ||
==Examples== | ==Examples== | ||
| − | Evaluate: <cmath>\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}</cmath> | + | 1. Evaluate: <cmath>\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}</cmath> |
<math>\emph{Solution:}</math> | <math>\emph{Solution:}</math> | ||
| Line 9: | Line 9: | ||
Solving, we get <math>\boxed{apple = 3}</math> | Solving, we get <math>\boxed{apple = 3}</math> | ||
| + | <math>(^()</math> | ||
Revision as of 14:17, 21 March 2020
The Apple Method is a method for solving algebra problems. An apple is used to make a clever algebraic substitution.
Examples
1. Evaluate: ![\[\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}\]](http://latex.artofproblemsolving.com/b/a/9/ba931c757fe2ab64fb02b7b34de5a0e22ea0b44c.png)
If we set 
, we can see that 
.
Solving, we get 
