Two integers are 26 and 28
Explanation:
- Step 1: Let the two consecutive positive integers be x and x + 2. Product = 728
x(x + 2) = 728
x² + 2x - 728 = 0
x = -2 ±√4 - 4 × 1 × -728/2 (using quadratic formula)
= -2 ±√4 + 2912/2
= -2 ±√2916/2 = -2 ± 54/2
= -56/2, 52/2
= -28, 26 (negative value is neglected)
∴ x = 26
x + 2 = 28