6 times a number is 27 less than the square of that number. Find the positive solution.

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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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

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