Difference between revisions of "The Apple Method"

Revision as of 09:00, 21 March 2020

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

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 3: / Line 3: @@
 ==Examples==
 Evaluate: <cmath>\sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}</cmath>
-\emph{Solution:}
-If we set <math>apple = \sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}</math>, we can see that <math>apple = \sqrt{6+\apple}</math>.
+<math>\emph{Solution:}</math>
+If we set <math>apple = \sqrt{6+\sqrt{6+\sqrt{6+\cdots}}}</math>, we can see that <math>apple = \sqrt{6+apple}</math>.
 Solving, we get <math>\boxed{apple = 3}</math>