Respuesta :
Answer:
So, 36 completes perfect square
Step-by-step explanation:
we are given
trinomial as
[tex]x^2-12x+......[/tex]
we can square formula
[tex]a^2-2ab+b^2=(a-b)[/tex]
we can see that middle term is 2ab
so, we will factor middle term in 2ab form
[tex]12x=2\times x\times 6[/tex]
We can see that b is 6
so, if we could add 6^2 , then we will get perfect square
[tex]x^2-12x+6^2......[/tex]
[tex]x^2-12x+36......[/tex]
So, we should add 36
so, 36......Answer
Answer: The correct option is
(C) 36.
Step-by-step explanation: We are given to select the value that completes the square or creates a perfect square trinomial for the following incomplete expression :
[tex]E=x^2-12x+?[/tex]
We will be using the following square formula :
[tex]a^2-2ab+b^2=(a-b)^2.[/tex]
Let the required value be represented by c.
We have
[tex]E\\\\=x^2-12x+c\\\\=(x^2-2\times x\times 6+6^2)+c-6^2\\\\=(x-6)^2+c-36.[/tex]
So, for the given expression to be a perfect square trinomial, we must have
[tex]c-36=0\\\\\Rightarrow c=36.[/tex]
Thus, the required value is 36.
Option (C) is CORRECT.
