Question

What number must you add to complete the square? x^2+12x=33

Answer 1

The formula of square is:

`(a+b)^2=a^2+2ab+b^2`

Let's find
`a` from the equation above:

`a^2=x^2`

`a=x`

Let's find
`b` from the equation above by replacing
`x` with
`a`:

`2ab=12a`

`ab=6a`

`b=6`

If
`a=x` and
`b=6` then our square should look like:

`(x + 6)^2 = x^2 + 12x + 36`

Let's move 33 to the left side of equation and see what we have:

`x^2+12x - 33=0`

Finally subtract
`-33` from
`36` and you will have the number you have to add to complete the square:

`36-(-33)=36+33=69`

So, the correct answer is 69.

Answer 2

(12/2)^2
6^6
36

You must add 36 to both sides to complete the square.


Hope I didn't mess up for your sake!