# Seeking name for a formula

• January 11th 2007, 12:44 PM
dwks
Seeking name for a formula
Does this relationship have a name?
Code:

```x = y + 1 x^2 - y^2 = x + y```
• January 11th 2007, 12:50 PM
Quick
Quote:

Originally Posted by dwks
Does this relationship have a name?
Code:

```x = y + 1 x^2 - y^2 = x + y```

interesting, and about as useful as "Quick's" property
• January 11th 2007, 01:13 PM
topsquark
Quote:

Originally Posted by dwks
Does this relationship have a name?
Code:

```x = y + 1 x^2 - y^2 = x + y```

(shrugs) As $y = x - 1$ (the second equation adds nothing new) this relationship is merely the line with slope 1 and y-intercept (0, -1).

-Dan
• January 11th 2007, 11:48 PM
CaptainBlack
Quote:

Originally Posted by dwks
Does this relationship have a name?
Code:

```x = y + 1 x^2 - y^2 = x + y```

Its a consequence of the difference of two squares formula:

$x^2-y^2=(x+y)(x-y)$

RonL
• January 13th 2007, 12:28 PM
dwks
Hmm, okay. Thanks.