The product of two consecutive positive events integers is 728. Find the two integers.

Two integers are 26 and 28

Step-by-step 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