SOLUTION: consider the equation x^2+y^2=2007 .how many solutions(x,y) exist such that x and y are positive integers? A. NONE B. EXACTLY TWO C. MORE THAN TWO BUT FINITELY MANY D. INFINITE

SOLUTION: consider the equation x^2+y^2=2007 .how many solutions(x,y) exist such that x and y are positive integers? A. NONE B. EXACTLY TWO C. MORE THAN TWO BUT FINITELY MANY D. INFINITE

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Question 872362: consider the equation x^2+y^2=2007 .how many solutions(x,y) exist such that x and y are positive integers?
A. NONE
B. EXACTLY TWO
C. MORE THAN TWO BUT FINITELY MANY
D. INFINITELY MANY
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
None.
If ,
So , , and x<.
Trying to find for all x integers from 1 to 31,
none of the y values found is an integer.
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