Question

The difference of two numbers is 6 and their product is 55 what are the two numbers

Answer 1

5 and 11

Explanation:

11-5 =6

11x 5 =55

Answer 2

Let one number be x.
The other number is x-6

Product of the number is 55
x(x-6) = 55
x² - 6x - 55 = 0
(x + 5)(x - 11) = 0
x = -5 or x = 11

x = -5
x - 6 = -11

x = 11
x - 6 = 5


Answer: The two numbers are either -5 and -11 or 5 and 11.