Respuesta :
(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!
6^6
36
You must add 36 to both sides to complete the square.
Hope I didn't mess up for your sake!
The formula of square is:
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Let's find [tex]a[/tex] from the equation above:
[tex]a^2=x^2[/tex]
[tex]a=x[/tex]
Let's find [tex]b[/tex] from the equation above by replacing [tex]x[/tex] with [tex]a[/tex]:
[tex]2ab=12a[/tex]
[tex]ab=6a[/tex]
[tex]b=6[/tex]
If [tex]a=x[/tex] and [tex]b=6[/tex] then our square should look like:
[tex](x + 6)^2 = x^2 + 12x + 36[/tex]
Let's move 33 to the left side of equation and see what we have:
[tex]x^2+12x - 33=0[/tex]
Finally subtract [tex]-33[/tex] from [tex]36[/tex] and you will have the number you have to add to complete the square:
[tex]36-(-33)=36+33=69[/tex]
So, the correct answer is 69.
[tex](a+b)^2=a^2+2ab+b^2[/tex]
Let's find [tex]a[/tex] from the equation above:
[tex]a^2=x^2[/tex]
[tex]a=x[/tex]
Let's find [tex]b[/tex] from the equation above by replacing [tex]x[/tex] with [tex]a[/tex]:
[tex]2ab=12a[/tex]
[tex]ab=6a[/tex]
[tex]b=6[/tex]
If [tex]a=x[/tex] and [tex]b=6[/tex] then our square should look like:
[tex](x + 6)^2 = x^2 + 12x + 36[/tex]
Let's move 33 to the left side of equation and see what we have:
[tex]x^2+12x - 33=0[/tex]
Finally subtract [tex]-33[/tex] from [tex]36[/tex] and you will have the number you have to add to complete the square:
[tex]36-(-33)=36+33=69[/tex]
So, the correct answer is 69.