Question

What value of c makes x2 − 12x + c a perfect square trinomial?

Answer 1

for value 36

c makes the perfect square

x2 - 12x +36

= x2 - 2*6x +6^2

= (x-6)^2 #

Answer 2

Answer: The required value of c is 36.

Step-by-step explanation: We are given to find the value of c so that the following expression becomes a perfect square trinomial :

`E=x^2-12x+c~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To find the value of c, we proceed as follows :

`E\\\\=x^2-12x+c\\\\=(x^2-2* x*6+6^2)+c-6^2\\\\=(x-6)^2+c-36.`

So, for E to be a perfect square trinomial, we must have

`c-36=0\\\\\Righatrrow c=36.`

Thus, the required value of c is 36.