Question

What number should be added to both sides of the equation to complete the square?

x2 + 8x = 4

4
8
16
32

Answer 1

The ans is 16...U have to divide 8 by 2, then square it

Answer 2

16

Explanation:

The given equation is
`x^2+8x=4`

Compare this with
`ax^2+bx=c`

a = 1, b = 8, c=4

Now, in order to complete the square we add both sides by
`((b)/(2))^2`

Thus, we find this value first

`((b)/(2))^2\\\\=((8)/(2))^2\\\\=4^2\\\\=16`

Therefore, we add 16 to both sides of the equation to complete the squares.

Third option is correct.