The Apple Method

Revision as of 14:42, 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 apple $=\boxed{3}$