Algebra Demystified 2nd Ed

Chapter 10 QuadratiC EQuations 377

2. x
   xx
   xx x
   xx x

−

+

=

−

−−=+

−+=+

1

23

6

2

1262 3

(^2321218)
()()()
()()
−−−−
−−=
−+=
12 18 12 18
15 16 0
16 10
2
xx
xx
xx
x−−= +=
++
16 010
16 16
x
−−
==−
11
xx 16 1

3. x
   x

x

x

x

x

x

+

−

+ +

−

= +

+

+

2

3

21

9

12 3

3

2

2

Denominatorfactored:

xx

x

xx

x

x

xx

x

−

+ +

−+

= +

+

=− +

−

3

21

33

12 3

3

33

3

()()

LCD( )( )

()(() ()()

()()

()

x x

x

xx x

xx

x

+⋅+

−

+− +⋅ +

−+

=−

3 2

3

3321

33

3 (()

()() ()()

x x

x

xx xxx

x

+⋅ +

+

++++=− +

+

3 12 3

3

3221 3123

(^25) xxxxx
xx xx
++ += −−
++=−−
62 112339
7712 33 9
2
22
−− −− −−
=−
xx xx
x
22
2
77 77
011440 16
0114 4
11 40 40
x
xx
xx
−
=+−
+= −=
()()
−− 44    ++
=− =
=−
44
11 44
4
11
xx
x