SOLUTION: The product of two consecutive numbers is 72. Find the two integers. Can someone show me the steps to reach to the answer? Thank you.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: The product of two consecutive numbers is 72. Find the two integers. Can someone show me the steps to reach to the answer? Thank you.      Log On


   

Question 256294: The product of two consecutive numbers is 72. Find the two integers. Can someone show me the steps to reach to the answer? Thank you.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
n (n + 1) = 72

n^2 + n - 72 = 0

(n + 9) (n - 8) = 0

n + 9 = 0 ___ n = -9

n - 8 = 0 ___ n = 8

the numbers are -9 and -8 ___ OR ___ 8 and 9