Respuesta :

David1993
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:

[tex]x^2+12x+n[/tex]

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

[tex]x^2+12x+n[/tex]

12 divide by 2 is 6

square of 6 is 36

Now add 36 to make perfect square

[tex]x^2+12x+36[/tex]

[tex](x+6)(x+6)[/tex]

[tex](x+6)^2[/tex]

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