Difference between revisions of "The Apple Method"
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The Apple Method is a method for solving algebra problems. | The Apple Method is a method for solving algebra problems. | ||
An apple is used to make a clever algebraic substitution. | An apple is used to make a clever algebraic substitution. | ||
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+ | ==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 <math>x</math> 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== | ==Examples== | ||
1. Evaluate: <cmath>\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}</cmath> | 1. Evaluate: <cmath>\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}</cmath> | ||
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===The pear method=== | ===The pear method=== | ||
When more than one variable is needed, pears, bananas, etc. are usually used. | When more than one variable is needed, pears, bananas, etc. are usually used. | ||
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Revision as of 13:26, 17 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, etc. are usually used.