Solving Equations Examples And Worksheet Page 13

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A61
Appendix A.5
Solving Equations
In Exercises 71– 80, solve the quadratic equation by
4
3
121.
x
x
x
1
completing the square.
4
3
3
122.
x
2x
16
8x
4x
2
2
71.
x
4x
32
0
72.
x
6x
2
0
4
2
4
2
123.
x
4x
3
0
124.
36t
29t
7
0
2
2
73.
x
12x
25
0
74.
x
8x
14
0
6
3
6
3
125.
x
7x
8
0
126.
x
3x
2
0
2
2
75.
8
4x
x
0
76.
9x
12x
14
In Exercises 127–154, find all solutions of the equation.
2
2
77.
2x
5x
8
0
78.
4x
4x
99
0
Check your solutions in the original equation.
2
2
79.
5x
15x
7
0
80.
3x
9x
5
0
127.
2x
10
0
128.
7 x
6
0
In Exercises 81–98, use the Quadratic Formula to solve the
129.
x
10
4
0
130.
5
x
3
0
equation.
131.
2x
5
3
0
132.
3
2x
2
0
2
2
81.
2x
x
1
0
82.
25x
20x
3
0
3
3
133.
2x
1
8
0
134.
4x
3
2
0
2
2
83.
2
2x
x
0
84.
x
10x
22
0
135.
5x
26
4
x
136.
x
5
2x
5
2
2
85.
x
14x
44
0
86.
6x
4
x
3 2
3 2
137.
x
6
8
138.
x
3
8
2
2
87.
x
8x
4
0
88.
4x
4x
4
0
2 3
2
4 3
139.
x
3
5
140.
x
x
22
16
2
2
89.
12x
9x
3
90.
16x
22
40x
1 2
3 2
141.
3x x
1
2 x
1
0
2
2
91.
9x
24x
16
0
92.
16x
40x
5
0
2
1 3
4 3
142.
4x
x
1
6x x
1
0
2
2
93.
28x
49x
4
94.
3x
x
1
0
3
1
4
3
143.
x
144.
1
2
2
95.
8t
5
2t
96.
25h
80h
61
0
x
2
x
1
x
2
5
2
2
97.
y
5
2y
98.
x
14
8x
20
x
3
7
145.
x
146.
4x
1
x
x
In Exercises 99–104, use the Quadratic Formula to solve the
x
1
x
1
x
1
equation. (Round your answer to three decimal places.)
147.
3
148.
0
2
x
4
x
2
3
x
2
2
99.
0.1x
0.2x
0.5
0
149.
2x
1
5
150.
13x
1
12
2
100.
2x
2.50x
0.42
0
2
2
151.
x
x
x
3
152.
x
6x
3x
18
2
101.
0.067x
0.852x
1.277
0
2
2
153.
x
1
x
5
154.
x
10
x
10x
2
102.
0.005x
0.101x
0.193
0
ANTHROPOLOGY In Exercises 155 and 156, use the
2
103.
422x
506x
347
0
following information. The relationship between the length
2
104.
3.22x
0.08x
28.651
0
of an adult’s femur (thigh bone) and the height of the adult
can be approximated by the linear equations
In Exercises 105–112, solve the equation using any
y
0.432 x
convenient method.
10.44
Female
y
2
2
105.
x
2x
1
0
106.
11x
33x
0
0.449x
12.15
Male
2
2
107.
x
3
81
108.
x
14x
49
0
y
x
where
is the length of the femur in inches and
is the
11
2
2
109.
x
x
0
110.
3x
4
2x
7
height of the adult in inches (see figure).
4
2
111.
4x
2x
4
2x
8
2
2
2
112.
a
x
b
0,
a
and are real numbers,
b
a
0
In Exercises 113–126, find all real solutions of the equation.
x in.
y in.
Check your solutions in the original equation.
femur
4
2
3
113.
2x
50x
0
114.
20x
125x
0
4
6
115.
x
81
0
116.
x
64
0
155. An anthropologist discovers a femur belonging to an
3
117.
x
216
0
adult human female. The bone is 16 inches long.
4
3
2
118.
9x
24x
16x
0
Estimate the height of the female.
3
2
119.
x
3x
x
3
0
3
2
120.
x
2x
3x
6
0

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