What is the value of n so that the expression x^2+12X+n is a perfect square trinomial?
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
\(x^2+12x+36\)
\((x+6)(x+6)\)
\((x+6)^2\)