The Apple Method: Difference between revisions

Revision as of 13:17, 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 $\boxed{apple = 3}$ $(^()$

@@ Line 2: / Line 2: @@
 An apple is used to make a clever algebraic substitution.
 ==Examples==
-Evaluate: <cmath>\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}</cmath>
+. Evaluate: <cmath>\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}</cmath>
 <math>\emph{Solution:}</math>
@@ Line 9: / Line 9: @@
 Solving, we get <math>\boxed{apple = 3}</math>
+<math>(^()</math>