SOLUTION: Find three consecutive integers whos product is 120 larger than the cube of the smallest integer

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Question 647426: Find three consecutive integers whos product is 120 larger than the cube of the smallest integer
Answer by solver91311(24713) About Me  (Show Source):
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An integer:

The next consecutive integer

The next consecutive integer after that

The product:

The cube of the smallest:

So we know that



Expand the LHS, collect like terms in the LHS to put the equation into standard quadratic form, and solve. Hint: It factors. Discard the negative rational root and then the positive integer root is your lowest of the three consecutive integers.

John

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