when 12 is subtracted from the square of a number, the result is 4 times the number. find the positive solution.

n=6

Step-by-step explanation:

Let n = number

We square the number

n^2

Then subtract 12

n^2 -12

The result is 4 times the number

n^2 -12 = 4n

Subtract 4n from each side

n^2 -12 -4n = 4n-4n

n^2-4n-12=0

Factor

(n-6) (n+2) =0

Using the zero product property

n-6=0    n+2 =0

n=6   n=-2

We want the positive solution

n=6