Problema Solution

The product of two consecutive integers is 2 less than the square of the smaller integer. Find the larger of the two integers.

Answer provided by our tutors

the two consecutive integers can be written as


x and x+1


where x is integer


the product of two consecutive integers is 2 less than the square of the smaller integer


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


by solving we find


x = -2


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x + 1 = -2 + 1 = -1


the larger integer is -1.