Difference between revisions of "The Apple Method"
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1. Evaluate: <cmath>\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}</cmath> | 1. Evaluate: <cmath>\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}</cmath> |
Revision as of 23:37, 31 May 2020
The Apple Method is a method for solving algebra problems. An apple is used to make a clever algebraic substitution.
Contents
[hide]Why Apple?
A few reasons:
1. When you use the Apple Method, you can box what you are substituting with the apple. When you use as a substitution, instead of actually boxing it, you are just crossing it out.
2. Apples are easier to draw.
3. Apples are good for you.
Examples
1. Evaluate:
If we set , we can see that .
Solving, we get
2. If Find x.
3. Evaluate:
Extensions
The pear method
When more than one variable is needed, pears, bananas, and smiley faces are usually used.