Question

The Product of Two Consecutive integers is three less than three times their sum. Find the integers.

Answer 1

the integers are either -3 , -2. or

2,3

Explanation:

`x * x + 1 = {x}^(2) + 1 \\ x + x + 1 = (2x + 1)3 = 6x + 3 \\ 6x + 3 - 3 = {x}^(2) + 1 \\ 6x = {x}^(2) + 1 \\ {x}^(2) - 6x + 1 = 0 \\ (x + 3)( x - 2) \\ x = - 3 \: x = 2 \\`