The difference between the two positive numbers is 7 and it is not in the given option
Given the product of two positive numbers is 120
Let x and y represent the two numbers
So, xy = 120
Also, their sum of their square is 289
x + y = 289
To find the difference between them,
If (x - y)² = (x - y)(x - y)
= x²- xy - xy + y²
x² + y² - 2xy
Substituting the value,
(x - y)² = x² + y² - 2xy
(x - y)² = 289 - 2(120)
(x - y)² = 289 - 240
(x - y)² = 49
x - y = √49
x - y = 7
Therefore, the difference between the two positive numbers is 7 and it is not in the given option