Question

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

Answer 1

`x^2 + x - 72 = 0`

Step-by-step 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.