Add? I will show you the process.
X^2 + 12X = 16
halve the linear term (12), square it and ADD it to both sides
X^2 + 12X + 36 = 16 + 36
factor the right side; gather terms right
(X + 6)^2 = 52
(X + 6)^2 - 52 = 0
(-6,-52) vertex of function
As you see 36 was added to both sides
You must add (17n + 144).
If: x^2 +18x = 29 Then completing the square: (x+9)^2 -81 = 29 or (x+9)^2 = 110
144
Adding 100 completes the square. { I wonder why you want to complete the square when the expression already factors as x(x-20) }.
X2 - 8X = 3halve the linear term (- 8 ), square it and add it to both sidesX2 - 8X + 16 = 3 + 16factor left, gather terms right(X - 4)2 = 19(X - 4)2 - 19 = 0-------------------------(4, - 19)----------------the vertex16 is the number that needed to be added to both sides to complete the square
You must add 1
4
it is 121
You must add (17n + 144).
You must add 36 to complete the square on the left hand side.You must add 36 to complete the square on the left hand side.You must add 36 to complete the square on the left hand side.You must add 36 to complete the square on the left hand side.
You need to add -6
square root -5 minus 14 or - square root -5 minus 14
The constant term - the part without a variable - must be equal to the square of one half the linear term - the number in front of the "x". That is, it must be (12/2)2 = 36.
9
If: x^2 +18x = 29 Then completing the square: (x+9)^2 -81 = 29 or (x+9)^2 = 110
144
-3