Question

What value of c makes x^2-12x+c a perfect square trinomial

Answer 1

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

Answer 2

the value of C is 36

Explanation:

`x^2-12x+c`

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

`(-12)/(2) =-6`

Now square it
`(-6)^2= 36`

the value of C is 36

`x^2-12x+36`

`(x-6)(x-6)=(x-6)^2`

So the value of C is 36