Answer:
Option (2) is correct.
We can write [tex]x^2-16x+64=-8[/tex] as [tex](x-8)^2=-8[/tex]
Step-by-step explanation:
Consider the given equation [tex]x^2-16x+64=-8[/tex]
We have to rewrite it in form of identity [tex](a-b)^2[/tex]
We know [tex](a-b)^2=a^2+b^2-2ab[/tex]
Consider the left side of the given equation,
[tex]x^2-16x+64[/tex]
this can be written in form of [tex](a-b)^2=a^2+b^2-2ab[/tex]
Here a = x , b = 8 , -2ab= -2 × x ×8
Then left side becomes,
[tex]x^2-16x+64=(x-8)^2[/tex]
Thus , we can write [tex]x^2-16x+64=-8[/tex] as [tex](x-8)^2=-8[/tex]
Thus, option (2) is correct.
