Problema Solution
The product of two consecutive integers is 3 less than the square of the lesser integer. Find the greater of the two integers.
The greater of the two integers is
Answer provided by our tutors
The 2 consecutive integers can be written as: x and x + 1, where x is integer.
the product of x and x + 1 is 3 less than the square of x:
x(x + 1) = x^2 - 3
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click here to see the equation solved for x
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x = - 3
The greater of the two integers is x + 1 = -3 + 1 = -2.