Here's an equation that's easy to analyze with a little insight.
It's not original with me, I ran across it yesterday. (I'll provide attribution after it's solved.)

x^{3} - y^{3} = 217

Does this equation have integer solutions (pairs of {x, y} integers)? If not, prove there are none; if so, find as many as you can.

## Question

## bonanova

Here's an equation that's easy to analyze with a little insight.

It's not original with me, I ran across it yesterday. (I'll provide attribution after it's solved.)

x^{3}-y^{3}= 217Does this equation have integer solutions (pairs of {

,x} integers)?yIf not, prove there are none; if so, find as many as you can.

## Link to comment

## Share on other sites

## 2 answers to this question

## Recommended Posts

## Join the conversation

You can post now and register later. If you have an account, sign in now to post with your account.