Difference between revisions of "The Apple Method"
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2. If <cmath>\sqrt{x\cdot\sqrt{x\cdot\sqrt{x\cdots}}} = 5</cmath>Find x. | 2. If <cmath>\sqrt{x\cdot\sqrt{x\cdot\sqrt{x\cdots}}} = 5</cmath>Find x. | ||
− | 3. Evaluate: <cmath>\frac{1^2+2^2+3^2+\cdots}{1^2+3^ | + | 3. Evaluate: <cmath>\frac{1^2+2^2+3^2+\cdots}{1^2+3^2+5^2+\cdots}</cmath> |
==Extensions== | ==Extensions== | ||
===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. |
Revision as of 18:03, 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, etc. are usually used.