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tekilochka [14]
3 years ago
10

What is the value of n so that the expression x^2+12X+n is a perfect square trinomial?

Mathematics
2 answers:
DochEvi [55]3 years ago
7 0

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

Anton [14]3 years ago
4 0
N is equal = 36

Or

n = 6^2

Because,

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

= ( x + 6)^2

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