Let the number be x, therefore, its square is x², and 44 more than the number is x+44 whose square is (x+4)². Thus the sum will be x² + (x+44)²² = 8080 x² + x² + 88x + 1936= 8080 Combining the right terms 2x² + 8x - 6144 = 0 dividing by 2 x² + 44x - 3072 =0 solving for x x = 37.6 or -81.6 Therefore, the positive number is 37.6