Question

The product of two consecutive positive integers is 1 more than their sum. find the integers.

Answer 1

2 consecutive positive integers....x and x + 1
" the product " means multiply and " the sum " means add

x(x + 1) = x + (x + 1) + 1
x^2 + x = 2x + 2
x^2 - 2x + x - 2 = 0
x^2 - x - 2 = 0
(x + 1)(x - 2) = 0

x + 1 = 0
x = -1......not this one because it is negative

x - 2 = 0
x = 2

x + 1 = 2 + 1 = 3

so ur numbers are : 2 and 3 <==