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Homework Statement
Find all ordered pair (x,y) of non negative integers satisfying
a2 + 2ab + b2 = 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!