Question

What number should be added to both sides of the equation to complete the square? X^2+12x

Answer 1

The number that should be added to both sides is 16 because its half of b, which is then squared. You then get (x+4)^2=20, which you then square root both sides and get x+4=+-20 and then subtract the 4 to get x=-4+-20

Answer 2

for
`ax^2+bx+c`

if a=1, and
`c=((b)/(2))^2`, then it comlpetes the square

`x^2+12x`

a=1, b=12

since a=1, c=
`((b)/(2))^2=((12)/(2))^2=(6^2)=36`

add 36 to both sides of the nonexistant equation to copmlete square