Chapter 7 linear equaTionS 215
- (x − 7)^2 − 4 = (x + 1)^2
4.^67
41
38
24
x
x
x
x
+
−
= +
−
5.^9
31
4 3
31
x
xx−
=+
−
6.^1
1
2
1
3
xx− x^21
−
+
=
−
- (2x − 1)^2 − 4 x^2 = − 4 x + 1
- 71 x+ = 13
- x−= 610
- 23 x−+= 16
- 72 −=x 3
- 34 25xx+= +
✔SOLUTIONS
Unless a solution is extraneous, the check step is omitted.
1.^185
32
7
3
−
+
x=
x
This equation is in the form “Fraction = Fraction,” so
cross-multiply.
3185 73 2
54 15 21 14
15 15
54 36 14
()−=()+
−=+
++
=+
−
xx
xx
xx
x
114 14
40 36
40
36
10
9
−
=
=
=
x
x
x