Respuesta :

Answer:

9

Step-by-step explanation:

6n = n² - 27

n² - 6n - 27 = 0

n² - 9n + 3n - 27 = 0

n(n - 9) + 3(n - 9) = 0

(n - 9)(n + 3) = 0

n = -3, 9

Based on the information given, the positive solution will be 9.

Let the positive number be represented by n.

Therefore, based on the information given, the equation to solve the question will be:

(6 × n) = n² - 27

6n = n² - 27

Equate the equation to zero

n² - 6n - 27 = 0

n² - 9n + 3n - 27 = 0

n(n - 9) + 3(n - 9) = 0

Therefore, n - 9 = 0

n = 0 + 9

n = 9

n + 3 = 0

n = 0 - 3

n = -3

Therefore, the positive solution to the question will be 9.

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