#math trivia #65 solution

Burt Kaliski Jr. (@modulomathy)
3/5/12 1:05 PM
#math trivia for #March5: #65 = (x^2-xy+y^2)(x+y) for positive integers x, y. What are x and y? (Hint: simplify the product.)

Simplifying the product by multiplying the terms gives

65 = x^3+y^3

The solution is x = 4, y = 1, or vice versa.

Leave a Reply

Fill in your details below or click an icon to log in:

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