Problema Solution

the product of two consecutive integers is 9 less than the square of the smaller integer. find the larger of the two integers.

Answer provided by our tutors

Let the two integers be x and (x+1).

Now according to question,

x(x+1)=x2-9

x2+x=x2-9

x=-9

The larger integer =-9+1=-8

So -8 is the answer.