Question

Now, write x^2-16x+64=-8

Answer 1

B

Explanation:

Answer 2

Option (2) is correct.

We can write
`x^2-16x+64=-8` as
`(x-8)^2=-8`

Explanation:

Consider the given equation
`x^2-16x+64=-8`

We have to rewrite it in form of identity
`(a-b)^2`

We know
`(a-b)^2=a^2+b^2-2ab`

Consider the left side of the given equation,

`x^2-16x+64`

this can be written in form of
`(a-b)^2=a^2+b^2-2ab`

Here a = x , b = 8 , -2ab= -2 × x ×8

Then left side becomes,

`x^2-16x+64=(x-8)^2`

Thus , we can write
`x^2-16x+64=-8` as
`(x-8)^2=-8`

Thus, option (2) is correct.