Positive consecutive integers are ; 17 and 18.

Step-by-step explanation:

Given :

Product of two consecutive integers = 306.

To find :

The integers.

Solution :

Let the two consecutive integers be

x and (x + 1) .

By given condition, x × (x + 1 ) = 306

=>

For a quadratic equation,

where,

For the equation,

a = 1, b = 1 and c = -360.

therefore,

Now,

Hence, positive consecutive integers are ;

17 and 18.