What are two consecutive odd positive integers whose product is 323?

1 Answer
Apr 11, 2018

17 and 19.

Explanation:

17 and 19 are odd, consecutive integers whose product is 323.

Algebraic explanation:

Let x be the first unknown. Then x+2 must be the second unknown.

x*(x+2)= 323" " Set up equation

x^2+2x = 323" " Distribute

x^2+2x-323 = 0 " " Set equal to zero

(x-17)(x-19)=0 " " Zero product property

x-17 = 0 or x-19=0" " Solve each equation

x= 17 or x= 19