Question

The product of two consecutive odd integers is 72. Write a quadratic equation to find the integers,

Answer 1

Answer:

$x^2 + x - 72 = 0$

Explanation:

We are given product of two consecutive odd integers is equal to 72.

Let one integer be x , then since these are consecutive and odd so the other integer will be equal to x + 1.  

Their product is equal to 72. So,

x * (x + 1) = 72

=> $x^2 + x = 72$

=>  $x^2 + x - 72 = 0$ is the required quadratic equation.