Difference between revisions of "The Apple Method"
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Solving, we get <math>\textcolor{red}{(\textcolor{green}{^{^(}})}=\boxed{3}</math> | Solving, we get <math>\textcolor{red}{(\textcolor{green}{^{^(}})}=\boxed{3}</math> | ||
− | 2. Evaluate: <cmath>\frac{1^2+2^2+3^2+\cdots}{1^2+3^3+5^2+\cdots}</cmath> | + | 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+5^2+\cdots}</cmath> |
Revision as of 22:36, 24 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:
If we set , we can see that
.
Solving, we get
2. If Find x.
3. Evaluate: