The given equation is that of circle with radius being 44.8(approx) . Now it cuts the x and y axis at (44.8,0), (0,44.8), (-44.8,0) and (0,-44.8). Integers are numbers ….-3,-2,-1,0,1,2,3,4,….. since the circle don’t cuts the axis in integers value thus answer is 0 .
NOTE- Had the question been the real roots then answer would be 4.