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Finding integers

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Find three consecutive positive integers such that the product of the first and third, minus the second is one more than 4 times the third.

The smallest integer is___

The second smallest integer is ___

The largest integer is___

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Solution Summary

This provides an example of setting up a polynomial to find integers.

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let the integers be x, x+1, x+2

then

x(x+2) - (x+1) = 4(x+2) + 1

x^2 + ...

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