Problema Solution

The product of two consecutive integers is 2 less than the square of the lesser integer. Find the greater 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 lesser integer:


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


by solving we find:


x = -2


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x + 1 = -2 + 1 = -1


-1 > -2


the greater of the two integers is -1.