Algebra Demystified 2nd Ed

(Marvins-Underground-K-12) #1
Chapter 7 linear equaTionS 215


  1. (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


+

=


  1. (2x − 1)^2 − 4 x^2 = − 4 x + 1

  2. 71 x+ = 13

  3. x−= 610

  4. 23 x−+= 16

  5. 72 −=x 3

  6. 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
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