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Sedbober [7]
3 years ago
9

The sum of three consecutive positive integers is a perfect cube. find the least possible value of the smallest number, assuming

that the middle number ends in at least 5 zeros.
Mathematics
1 answer:
Slav-nsk [51]3 years ago
5 0

Answer:

  8,999,999

Step-by-step explanation:

The sum of 3 consecutive integers will be 3 times the middle one. So, the cube will have factors of 3 and 100,000. The cube must have additional factors of 3² and 10, so will be 90×3×100,000 = 27,000,000.

Since the middle number is 9,000,000, the smallest number is 1 less:

  8,999,999

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Blababa [14]

Answer:

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Step-by-step explanation:

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This is a polynomial written with four terms that don't have a single common factor among them. However, the first two terms have a common factor (3x), and the last two terms have a common factor (10). This situation doesn't answer all of our wildest factoring dreams, but we'll take it.

By pulling out the common factors for each pair of terms, we can rewrite the original polynomial like this:

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These two terms now have a common factor of (2x + 1). Seems like we should be able to do something with that information, don't you think? In fact, we can pull out this common factor and rewrite the polynomial again:(3x + 10)(2x + 1)

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3 years ago
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Answer:

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3 years ago
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Mars2501 [29]
Nothing to drag; nowhere to drag it to.

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Answer:

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