Verified Answer :

n is equal = 36

Or

n = 6^2

Because,

x^2 + 12x + 36 = x^2 + 2.6x + 6^2

= ( x + 6)^2

Answer:

value of n is 36

Step-by-step explanation:

\(x^2+12x+n\)

To make perfect square trinominal , apply completing the square method

Take the coefficient of middle term, divide by 2 and square it

then add the square to make perfect square

\(x^2+12x+n\)

12 divide by 2 is 6

square of 6 is 36

Now add 36 to make perfect square

\(x^2+12x+36\)

\((x+6)(x+6)\)

\((x+6)^2\)