0
X2 - 8X = 3
halve the linear term (- 8 ), square it and add it to both sides
X2 - 8X + 16 = 3 + 16
factor left, gather terms right
(X - 4)2 = 19
(X - 4)2 - 19 = 0
-------------------------
(4, - 19)
----------------the vertex
16 is the number that needed to be added to both sides to complete the square
Add your answer:
Earn +20 pts
What number must you add to complete the square x2 plus 24x equals 17n?
You must add (17n + 144).
What number must you add to complete the square x2 plus 18x equals 29?
If: x^2 +18x = 29 Then completing the square: (x+9)^2 -81 = 29 or (x+9)^2 = 110
What number must be added to the polynomial to complete the perfect square x2-24x?
144
What number must be added to the polynomial to complete the square x2 - 20x?
Adding 100 completes the square. { I wonder why you want to complete the square when the expression already factors as x(x-20) }.
What number must you add to complete the square of x2 plus 14x equals -7?
49 x2 + 14x = -7 x2 + 14x + 49 = 42 (x + 7)2 = 42 x = -7 ± √42
What number must you add to complete the square x2 plus 2x equals -1?
You must add 1
What number must you add to complete the square x2 minus 4x equals 1?
4
What number must you add to complete the square x2 plus 22x equals 0?
it is 121
What number must you add to complete the square x2 plus 24x equals 17n?
You must add (17n + 144).
What number must you add to complete the square x2 plus 12x equals 40?
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.
What number must you add to complete the square x2 plus 10x equals 31?
You need to add -6
What number must you add to complete the square x2 plus 16x equals -7?
square root -5 minus 14 or - square root -5 minus 14
What number must you add to complete the square of x2 plus 12x equals 40?
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.
What number must be added to complete the square of x SQUARED plus 12x equals -3?
9
What number must you add to complete the square x2 plus 18x equals 29?
If: x^2 +18x = 29 Then completing the square: (x+9)^2 -81 = 29 or (x+9)^2 = 110
What number must be added to the polynomial to complete the perfect square x2-24x?
144
What number must be added to the polynomial to complete the square x2-5x?
-3
