Question

The product of two consecutive positive integers is 5 more than there sum how do you find the integer?

Answer 1

Take the smaller integer as x.

Then the other integer will be x+1.

The equation becomes x(x+1)=5+x+(x+1)

This is the same as x^2-x-6=0

We can factorize this as (x-3)(x+2)=0

So x can be either 3 or -2.

Therefore the pairs of integers are (3,4), (-2,-1)