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padilas
10 days ago
10

El producto de dos números consecutivos es 552 cuáles son esos números?

Mathematics
1 answer:
Svet_ta [4.3K]10 days ago
7 0

Answer: 23 y 24 ( ó -23 y -24)

Step-by-step explanation:

Two consecutive numbers can be represented as:

n y (n + 1)

where n is an integer.

Hence, "The product of two consecutive numbers is 552" can be expressed as:

n*(n + 1) = 552

n^2 + n = 552

n^2 + n - 552 = 0

We have a quadratic equation, and the possible solutions are obtained using the Bhaskara formula.

n = \frac{-1 +- \sqrt{1^2 - 4*1*(-552)} }{2} = \frac{-1 +- 47}{2}

The two solutions are:

n = (-1 - 47)/2 = -48/2 = -24

n = (-1 + 47)/2 = 46/2 = 23

If we take the first solution, n = -24

Then the two consecutive numbers would be:

n = -24

(n + 1) = -23

If n = 23, then

n + 1 = 24

Which makes sense, as the only change is the signs, which would negate each other in multiplication.

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