find three positive consecutive integers that the product of the second integer and the third integer is 72.

Question

How would you go about solving this and what would the answer be? I've been solving these types of questions in a x^2+x+(number), so that format would be helpful.

Answer 1

just a casual thought: 8 times 9 equals 72.

 

three consecutive positive integers: 7, 8, 9.

 

The first of these is irrelevant, of course.

Answer 2

Three consecutive integers

n, n+1, n+2

(n + 1)(n + 2) = 72

n² + 3n + 2 = 72

 

Can you now solve for n and answer?