Question

Two natural numbers are such that they differ by 2 and their product is 48 find the numbers.

Answer 1

Define x:

Let one number be x

The other number is x - 2

Solve x:

x(x - 2) = 1443

x² - 2x - 1443 = 0

(x - 39)( x + 37) = 0

x = 39 or x = -37

Find the numbers:

One numer = x = 39

The other number = x - 2 = 39 - 2 = 37

OR

one number = x = -37

The other number = x - 2 = -37 - 2 = -39

Answer: The numbers are 37 and 39 or -37 and -39

Step-by-step explanation:

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