Represent the following situations in the form of quadratic equations :
The product of two consecutive positive integers is 306. We need to find the Integers.

" The product of two consecutive positive integers is 30. " This can be expressed algebraically as

"The product of two consecutive positive integers is 30". This can be expressed algebraically as.

Prove that the product of any two consecutive positive integers is divisible by 2.

Prove that the product of three consecutive positive integers is divisible by 6.

Represent the following situations in the form of quadratic equations : The area of a rectangular plot is 528 m^(2) The length of the plot (in metres) is one more than twice its breadth. We need to find the length and breadth of the plot.

Write the quadratic equation which has 5 as the product of its two roots.

If the product of two consecutive integers is 306, write its quadratic representation.

Represent the following situations in the form of quadratic equations : Rohan's mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan's present age.

The product of two consecutive natural numbers is 12. the form of this statement is :

Find two consecutive positive integers, sum of whose squares is 613.