Christian Bokhove

…wonderful life

Lovely equation

On this weblog I encountered a great equation that can be solved in a creative way (the dots denote that the expression in repeated infinitely). I have reproduced it here:

(I) \sqrt{x+\sqrt{x+\sqrt{x+\sqrt{x+...}}}}=4

square both sides

(II) {x+\sqrt{x+\sqrt{x+\sqrt{x+...}}}}=16

now substitute  I in II

x+4=16

gives

x=12

Advertisements

Information

This entry was posted on January 13, 2012 by in Math trivia.
%d bloggers like this: