Answer:
[tex]x^2 + x - 72 = 0[/tex]
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
=> [tex]x^2 + x = 72[/tex]
=> [tex]x^2 + x - 72 = 0[/tex] is the required quadratic equation.
