Question

The product of two consecutive positive integers is 306.We need to get the integers

Answer 1

Let the numbers be x , x + 1 as they are consecutive.
ATQ
( x )( x + 1 ) = 306
x^2 + x = 306
x^2 + x - 306 = 0
x^2 + 18x - 17x - 306 = 0
x ( x + 18 ) - 17 ( x + 18 ) = 0
( x + 18 ) ( x - 17 ) = 0
So x = -18 , x = 17
Rejecting negative value
Integera are 17 and 18


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