17.What is wrong with the following problem? “Solve ”
18.Explain how the LCD is used in a different way when adding and subtracting rational
expressions as compared to solving equations with rational expressions.
Solve each equation, and check your solutions. See Examples 1(b), 2, and 3.
Solve each equation, and check your solutions. Be careful with signs. See Example 2.
Solve each equation, and check your solutions. See Examples 3–7.
2
p+ 3+3
8=5
4 p+ 123
x- 1+2
4 x- 4=7
43
r+ 3- 2
r- 3
=- 12
r^2 - 9 - 2
z+ 5
+
3
z- 5=
20
z^2 - 25x
4 - x=
2
x2
m=
m
5 m+ 122
t^2 - 4=3
t^2 - 2 t4
x^2 - 3 x=1
x^2 - 98 k
5- 3 k- 4
2
=
5
23 x
5- x- 5
7
= 3r
6- r- 2
3
=-
4
3p
2p- 1
4=
5
4x+ 3
7x+ 2
6=1
6a+ 7
8a- 2
3=4
325
5 x- 6=- 150 - 125 x
36 - 25 x^2
9
3 x+ 4=
36 - 27 x
16 - 9 x^2t+
8
3=
t
3+t+
14
3x+
17
2=
x
2+x+ 68 p
5=3 p- 4
2+5
2x
2=5
4+x- 1
4x- 6
6
+x+ 2
8
=11
4q+ 2
3
+q- 5
5
=7
3- 5
a+ 5 - 2 =
a
a+ 5k
k- 4- 5 =
4
k- 47 - 2 x
x=- 17
5
2 x+ 3
x=
3
22 z+ 1
5=
7 z+ 5
153 p+ 6
8=3 p- 3
16r- 5
2=
r+ 2
3z- 1
4
=z+ 3
3
a-3 a
2
= 14 m
7
+m= 115 t
4
+t= 93 x
5- 6 =x
11
q- 3 =
1
q5
y+ 4 =
2
y4
y+
1
y= 2
5
m- 3
m
= 82
3 x+1
5 x^.- 3
x^2 + 9 x- 10
12
x^2 - 49
= 0
4
x^2 + 8 x- 9+
1
x^2 - 4= 0SECTION 7.6 Solving Equations with Rational Expressions 463