Find out.
X^2 + 8X = 34
halve the linear term, square it and add to both sides
X^2 + 8X + 16 = 34 + 16
factor left, gather right
(X + 4)^2 = 50
(X + 4)^2 - 50 = 0
(- 4, - 50) is the vertex
and I guess you added 16 to both sides to complete square
4
square root -5 minus 14 or - square root -5 minus 14
x2 + 20x - 39 = 0: Add 61 giving: x2 + 20x + 100 = (x + 10)2
81. To complete the square, halve the coefficient of the x term (18/2 = 9) and add the square of this (92 = 81) to both sides: x2 + 18x = -13 ⇒ x2 + 18x + 81 = -13 + 81 ⇒ (x + 9)2 = 68
-17
You must add 1
it is 121
4
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
-3
144