Respuesta :

36; Divide b (12) by 2 and square it. 12/2= 6 , 6^2=36

Answer:

the value of C is 36

Step-by-step explanation:

[tex]x^2-12x+c[/tex]

find out the value  of 'a' that makes perfect square trinomial. use completing the square method.

In completing the square method, take the coefficient of x and divide it by 2

then square it

coefficient of x is -12

[tex]\frac{-12}{2} =-6[/tex]

Now square it [tex](-6)^2= 36[/tex]

the value of C is 36

[tex]x^2-12x+36[/tex]

[tex](x-6)(x-6)=(x-6)^2[/tex]

So the value of C is 36