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sergejj [24]
3 years ago
13

Find three consecutive natural numbers if the square of the smallest number is 65 less than the product of the remaining two num

bers.
Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
5 0

Answer:

21, 22, and 23

Step-by-step explanation:

Three consecutive natural numbers can be represented as n, n+1, and n+2.

The square of the smallest number would be n^2 and its equal to the product of the other two (n+1)(n+2).

So the equation is n^2 = (n+1)(n+2) -65\\n^2 = n^2 +n+2n+2-65\\n^2=n^2+3n-63\\0=3n-63\\63=3n\\ 21=n.

If n is 21 then the next numbers are 22 and 23.

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