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The Apple Method

Revision as of 14:41, 21 March 2020 by Nextgen xing (talk | contribs) (→‎Examples)

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

Examples

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$^2= 6+$apple.

Solving, we get https://upload.wikimedia.org/wikipedia/commons/thumb/0/06/Red_apple.svg/40px-Red_apple.svg.png $=\boxed{3}$

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