Solve Applications Modeled by Quadratic Equations · Exercise 19

Make up a problem involving the product of two consecutive odd integers. Start by choosing two consecutive odd integers. ⓐ What are your integers? ⓑ What is the product of your integers? ⓒ Solve the equation $n\left(n+2\right)=p$, where $p$ is the product you found in part (b). ⓓ Did you get the numbers you started with?

This is an open-ended exercise: its source gives no single answer.

OpenStax, Elementary Algebra 2e · §10.4 Solve Applications Modeled by Quadratic Equations · Exercise 19