Problema Solution

Find two consecutive positive integers whose product is 5 more than the square of the smaller integer.

Answer provided by our tutors

the two consecutive positive integers can be written as:


x and x+1, where x is integer and x>0


x is the smaller integer since x < x+1


x(x + 1) = 5 + x^2


by solving we find


x = 5


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5 + 1 = 6


the two consecutive positive integers are 5 and 6.