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egoroff_w [7]
2 years ago
13

How many numbers greater than zero and less than 50 equal the product of two consecutive positive integers?

Mathematics
1 answer:
spin [16.1K]2 years ago
7 0
Consecutive numbers would be like 2 and 3, or 7 and 8.

All we need to do is keep multiplying pairs of consecutive numbers until we get above 50.

1 × 2 = 2 (that's one.)
2 × 3 = 6 (two)
3 × 4 = 12 (three)
4 × 5 = 20 (four)
5 × 6 = 30 (five)
6 × 7 = 42 (six...)
<em>7 × 8 = 56 > 50</em>
We have a total of 6 numbers that equal the product of 2 consecutive intergers<em>

</em>
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Answer:

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Step-by-step explanation:

Multiplying the first equation by xy, we have ...

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Factoring the expression of interest, we have ...

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Substituting for xy using the first expression we found, this is ...

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