Question

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

Answer 1

n is equal = 36

Or

n = 6^2

Because,

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

= ( x + 6)^2

Answer 2

value of n is 36

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`