2014 Singapore MO (Senior Rd 1) Problem 23

2014 SMO (Senior-Rd1) 23. Let n be a positive integer, and let x = \frac{\sqrt{n+2} - \sqrt{n}}{\sqrt{n+2} + \sqrt{n}} and y = \frac{\sqrt{n+2} + \sqrt{n}}{\sqrt{n+2} - \sqrt{n}}. It is given that 14x^2 + 26xy + 14y^2 = 2014. Find the value of n.

Advertisements
This entry was posted in Grade 10, Singapore and tagged , , . Bookmark the permalink.

Leave a Reply

Please log in using one of these methods to post your comment:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s