Find two consecutive odd integers whose product is 99

Question

It needs to be right

Answer 1

Let the 2 consecutive odd integers be n and n+2.

 

n(n + 2) = 99

 

Solve for n.

 

n² + 2n - 99 = 0

 

(n + 11)(n - 9) = 0 ⇒

 

Two solutions:

 

n = -11

n + 2 = -9

 

and

 

n = 9

n + 2 = 11

 

Test the answers.

 

 

Answer 2

nine & eleven