An equation (a2+b2)/(ab+1)=0 has a solution if and only if the numerator is 0, and the denominator is not 0.
The numerator is 0 if and only if a = b = 0 because the sum of the squares of two numbers is 0 if and only if each number is 0.
In this case, the denominator ab +1=0+1=1 is not 0.
Answer: a=0, b=0.
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