Another fiasco of wolframalpha:

How many integer solutions are there for the in-equation $$ x^2 +y^2 \le 25 $$?

And this is what wolframalpha says: http://www.wolframalpha.com/input/?i=x%5E2%2By%5E2+%3C%3D+25

But I got a different answer, can you find the right answer?

Question

Another fiasco of wolframalpha:

How many integer solutions are there for the in-equation $$ x^2 +y^2 \le 25 $$?

And this is what wolframalpha says: http://www.wolframalpha.com/input/?i=x%5E2%2By%5E2+%3C%3D+25

But I got a different answer, can you find the right answer?

zarkon · Answer

A quick count gives me 81

zarkon · Answer

Mathematica likes my answer

In[4]:= Length[Solve[x^2 + y^2 <= 25, {x, y}, Integers]]

Out[4]= 81

anonymous · Answer

@Zarkon: You got that right! Btw you might like this http://mathworld.wolfram.com/GausssCircleProblem.html

zarkon · Answer

dissapointing that wolframalpha gives so many poor answers