Quadratic Equation Worksheet - Completing The Square Page 6

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Page 1 of 2
2
C
I
1
Solve the equation by completing the square.
OEFFICIENT OF X
S
S
H
TUDENT
ELP
2
2
x
+ 2x = 9
x
º 12x = º28
47.
48.
HOMEWORK HELP
2
2
49.
x
+ 20x + 104 = 0
50.
x
+ 3x º 1 = 0
Example 1: Exs. 23–46
Example 2: Exs. 47–54,
2
2
u
º 4u = 2u + 35
v
º 17v + 200 = 13v º 43
51.
52.
63–64
Example 3: Exs. 55–72
4
1
4
2
2
m
+ 1.8m º 1.5 = 0
n
º
n º
= 0
53.
54.
Example 4: Exs. 89–91
3
9
Example 5: Exs. 92, 93
2
Example 6: Exs. 73–84
C
I
N
1
Solve the equation by completing the square.
OEFFICIENT OF X
S
OT
Example 7: Exs. 94, 95
2
2
2x
º 12x = º14
º3x
+ 24x = 27
55.
56.
2
2
57.
6x
+ 84x + 300 = 0
58.
4x
+ 40x + 280 = 0
2
2
2
º4r
+ 21r = r + 13
3s
º 26s + 2 = 5s
+ 1
59.
60.
2
w
w
1
3
2
0.4t
+ 0.7t = 0.3t º 0.2
º
+
= 0
61.
62.
24
2
6
S
A
M
Solve the equation by factoring, by finding
OLVING BY
NY
ETHOD
square roots, or by completing the square.
2
2
x
+ 4x º 12 = 0
x
º 6x º 15 = 0
63.
64.
2
2
65.
9x
º 23 = 0
66.
2x
+ 9x + 7 = 0
2
2
3x
+ x = 2 x º 6
4(x + 8)
= 144
67.
68.
2
2
2
2
69.
7k
+ 10k º 100 = 2k
+ 55
70.
14b
º 19b + 4 = º11b
+ 11b º 5
2
2
q
9
q
2
71.
0.01p
º 0.22p + 2.9 = 0
72.
º
= 18
4
2
0
W
V
F
Write the quadratic function in vertex form and
RITING IN
ERTEX
ORM
identify the vertex.
2
2
2
73.
y = x
º 6x + 11
74.
y = x
º 2x º 9
75.
y = x
+ 16x + 14
2
2
2
y = x
+ 26x + 68
y = x
º 3x º 2
y = x
+ 7x º 1
76.
77.
78.
2
2
2
79.
y = ºx
+ 20x º 80
80.
y = ºx
º 14x º 47
81.
y = 3x
º 12x + 1
2
4
2
2
2
82.
y = º2x
º 2x º 7
83.
y = 1.4x
+ 5.6x + 3
84.
y =
x
º
x
3
5
Find the value of x.
S
H
GEOMETRY
CONNECTION
TUDENT
ELP
Skills Review
Area of rectangle = 100
Area of triangle = 40
85.
86.
For help with areas of
geometric figures,
see p. 914.
x
x
x
8
x
10
87.
Area of trapezoid = 70
88.
Area of parallelogram = 54
x
x
5
x
4
3x
x
5.5 Completing the Square
287

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