Q1 of 242 Page 9

The product of two consecutive positive integers is 306. Form the quadratic equation to find the integers, if x denoted the smaller integer.

Let the consecutive numbers be ‘a’ and ‘a + 1’ respectively.


Given, product of two consecutive positive integers is 306


a × (a + 1) = 306


⇒ a2 + a – 306 = 0


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