Difference between revisions of "The Apple Method"

Revision as of 14:42, 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 $^2= 6+$ apple.

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

Revision as of 14:41, 21 March 2020 (view source) Nextgen xing (talk \| contribs) (→‎Examples) ← Older edit		Revision as of 14:42, 21 March 2020 (view source) Nextgen xing (talk \| contribs) (→‎Examples) Newer edit →
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	If we set apple<math>=\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}</math>, we can see that apple<math>^2= 6+</math>apple.		If we set apple<math>=\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}</math>, we can see that apple<math>^2= 6+</math>apple.

−	Solving, we get ~~https://upload.wikimedia.org/wikipedia/commons/thumb/0/06/Red_apple.svg/40px-Red_apple.svg.png~~ <math>=\boxed{3}</math>	+	Solving, we get apple <math>=\boxed{3}</math>