Respuesta :
Answer:
for value 36
c makes the perfect square
x2 - 12x +36
= x2 - 2*6x +6^2
= (x-6)^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 :
[tex]E=x^2-12x+c~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
To find the value of c, we proceed as follows :
[tex]E\\\\=x^2-12x+c\\\\=(x^2-2\times x\times6+6^2)+c-6^2\\\\=(x-6)^2+c-36.[/tex]
So, for E to be a perfect square trinomial, we must have
[tex]c-36=0\\\\\Righatrrow c=36.[/tex]
Thus, the required value of c is 36.
