- #1

The legend

- 422

- 0

## Homework Statement

Find all ordered pair (x,y) of non negative integers satisfying

a

^{2}+ 2ab + b

^{2}= a + 4b

## Homework Equations

none

## The Attempt at a Solution

(a+b)

^{2}= a + 4b

or

a(a-1) + b(b-4) + 2ab = 0

obviously (0,0) satisfies the equation. What about the rest?

Please help!