Question

What number should be added to both sides of the equation to complete the square? x2 + 12x = 11

Answer 1

x^2 +12x =11

x^2 +12x -11 =0

x^2 +2*6x -11 =0 add to both sides 47

x^2 +12x +36 = 47

(x+6)^2 = 47

hope this will help you

Answer 2

For this case we have a polynomial of the form:

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To complete the square, we must add on both sides of the equation a term of the form:

`image`

Where,

b: coefficient of the exponent term equal to 1

We have then that for this case, completing squares:

`image`

Rewriting we have:

`image`

Answer:

The number that should be added to both sides of the equation to complete the square is:

36