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

x2+2x=323 Distribute

x2+2x323=0 Set equal to zero

(x17)(x19)=0 Zero product property

x17=0orx19=0 Solve each equation

x=17orx=19