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

Payton Rasmussen

Payton Rasmussen

Answered question

2022-09-27

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

Answer & Explanation

Shane Middleton

Shane Middleton

Beginner2022-09-28Added 7 answers

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 + 2 x = 323 Distribute
x 2 + 2 x - 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

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