1.

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

Answer»

Let the consecutive integers be x and x + 1. 

Their product = x(x + 1) = x2 + x 

By problem x2 + x = 306 

⇒ x2 + x – 306 = 0 

where x is the smaller integer.



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