Difference between revisions of "The Apple Method"

Revision as of 15:28, 21 March 2020

The Apple Method is a method for solving algebra problems. An apple is used to make a clever algebraic substitution.

1. Evaluate: $\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}$

$\emph{Solution:}$

If we set $apple = \sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}$ , we can see that $apple = \sqrt{6+apple}$ .

Solving, we get $\boxed{apple = 3}$

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	Solving, we get <math>\boxed{apple = 3}</math>		Solving, we get <math>\boxed{apple = 3}</math>
−	~~<math>(^()</math>~~