How many solutions does the equation have?

Given the equation:
`x^2+2xy+y^2-200x-200y+1900=0`
How many solutions (x,y) are there, where x and y
are integers from 1 to 100 (inclusive)?

Difficulty level (1 very easy - 10 very hard): 3

Algebra -> Algebraic Techniques Algebra -> Equations -> Diophantine Equations

Sources:

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