Respuesta :

Answer:

7 or 12

Step-by-step explanation:

Write the words into a math expression converting these words into symbols:

  • Is =
  • Square (n)^2
  • Number n
  • less than -

The square of 9 less than a number can be written as [tex](n-9)^2[/tex].

Is 3 less than a number can be written as (n-3).

Set them equal and solve for n by factoring.

[tex](n-9)^2=n-3\\n^2-18n+81=n-3\\n^2-19n+84=0\\(n-7)(n-12)=0\\[/tex]

To solve for n, set each factor equal to 0 through the zero product property.

n-7=0 so n=7.

n-12=0 so n=12.

Answer: d. 7 or 12

Step-by-step explanation:

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