# ГДЗ - алгебра - 9 класс - Алимов

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• 3 9

. 9 . .. ,.. , .. . 6- . .:

, 2001 .

-

• 4

........... 4

IV. .......... 73

V. .................................... 119

• 5

62.1) 23 + ( 3)3 ( 2)2 + ( 1)5 = 8 + ( 27) (4) + ( 1) = 24;2) ( 7)2 ( 4)3 34 = 49 ( 64) 81 = 32;3) 13 23 9 23 + 23 = 23 (13 9 + 1) = 8 5 = 40;4) 6 ( 2)3 5 ( 2)3 ( 2)3 = 23 (6 5 1) = 0 ( 23) = 0.

63.

1) 41317

13

215

13

1527

77

77

777

===

+

;

2) 5

519

14

415

1310

154

103

51

51

55

55

55555

====

+

++

;

3) abbaba

baba

babaa

==

=

+

29

310

29

382

29

382;

4) 22

2

2

210

12

710

953

dc

dc

dcc

dccdc

=== .

64.

1) 1 5 = 511 = 1; 2) 4 3 = 34

1 =

641 ;

3) ( 10)0 = 1; 4) ( 5) 2 = 251 =

251 ;

5) 4

21

= 42

1 =

161 ;

6) 312

37

73 1

==

.65.

1) 5-5

5 441

41

=

= ; 2)

3211 =

3

211

= 21 3;

3) 7

1x

= 71

x = x 7; 4)

91

a =

91

a

= a 9.

• 666.

1) 027,01000

27103

310

3

33

===

; 2) 80401

81121

911

119

2

22

===

;

3) (0,2) 4 = 4

51

= (5)4 = 625; 4) (0,5) 5 =

5

21

= 25 = 32;

5) ( 17) 1 = 171 ; 6) ( 13) 2 = 213

1 = 169

1 .

67.

1) 3 1 + ( 2) 2 = 127

1243

41

31

=

+=+ ;

2) 1653

1653

161272

41

234

32

23

32

3

==

==

;

3) (0,2) 2 + (0,5) 5 = 52 + 25 = 25 + 32 = 57;

4) ( 0,1) 3 ( 0,2) 3 = 11

1251

10001

+

= 1000 + 125 = 875.68.

1) 12 3 = 3121 < 1; 2) 210 = 1;

3) (0,6) 5 = 5

35

> 1; 4)

4

195

=

4

519

> 1.

69.

1) (x y) 2 = 2)(1

; 2) ( + ) 3 = 3)(1 +

;

3) 3b 5 c8 = 583

b ; 4) 9a3 b 4 = 4

39ba ;

5) 32

321

acbcba = ; 6) 4

2412

bcacba = .

70.

1) 49771

71

71 2

23

==

=

;

2) 125)5(51

51

51 3

34

==

=

;

• 73) 27137

271000

310

1033,03,03,0

333107

==

=

==

;

4) 17117171717 135 == .

71.

1) 7291

9199:9 3

3107===

;

2) 0016.0)2.0()2,0(:)2,0( 422 == ;

3) 4142

4169

213

132

132:

132

2

221012

===

=

;

4) 62516

52

52:

52

4

413

==

.72.

1) ( ) 1553 = ; 2) ( ) 842 bb = ;3) ( ) 2173 = ; 4) ( ) 2847 = b .73.

1) ( )6

36332

b

bb == ; 2) ( )4

848412

b

abab == ;

3) ( )12

12662

a64

1a22 ==

; 4) ( )12

12443

a81

133 == .

74.

1) 1614

14

162

7

8

ab

ba

ba

==

;

2) 15123

5

4

nm

nm

=

;

3) 9

43

232 812

2

81222

4

6 yxyxyx

==

;

4) 1593

9

1533

3

5 64644xzy

zxy

zyx

=

=

;

• 875.

1) ( ) 4)4(14 22222222 ==

xyyxy

yyx ,

= 5, x2 = 25 25 4 = 21;( ) =

=

44

24

4

8

2

4440412 :)2

babb

ba

bbababa

( )( )( ) ;)()( 244

442

4444

44

2

4

88

bba

babbaba

bab

bba +

=

+=

=

= 2, b = 3, a4 = 16, b4 = 81, b2 = 9 9710

997

98116

==

+ .

76.1) 2000004 = (2 105)4 = 24 1020 = 16 1020 = 1,6 1021;2) 0,00033 = (3 10 4)3 = 33 10 12 = 27 10 12 = 2,7 10 11;3) 4000 2 = (4 103) 2 = 0,0625 10 6 = 6.25 10 8;4) 0,002 3 = (2 10 3) 3 = 2 3 109 = 0,125 109 = 1,25 108.

77.1) 0,0000087 = 8,7 10 6;2) 0,00000005086 = 5,086 10 8;

3) 3108008,0125

1

== ;

4) 3106.10016,06251

== .

78, 79, 80.

3 10 3 = 1000

3 = 0,003; 0,00000000001 = 10 11;

10 4 = 0,0001.

81.

1) 3278278

aaaaa

==+

,

= 0,8, a3 = 0,512;513315

13

315)2 aa

aaa

==+ ,

= 21 , a5 =

321

21 5

=

.

• 982.

( )( ) ( )( ) ( ) ( )( ) =+=+ 4120:20220:20)1 48492

8677

;51

2051

41

201

=

+=+=

( )( ) ( )( ) ( ) ( ) =

26242

21364 17:1717117:17)2

.017

117

1171

171

171

22

222

==

=

83.1) (1,3) 118 (1,3)127 = (1,3)9 10,6;2) (0,87) 74: (0,87) 57 = (0,87) 74 + 57 = (0,87) 17 10,67;

3) ;34,101719

1917

1917:

1917 21212647

=

=

4) 78,162123

2123

2123 312556

=

.

84.1) (786 7)4 = 786 28 = 5,8 10 62;2) (9233) 6 = 923 18 = 4,23 10 54;3) (1,76) 8 (35,4) 8 = (62,3) 8 = 2,07 10 14;4) (0,47) 5 : (7,81) 5 = (0,47 : 7,81) 5 = 1,27 106.

85.1) V = (1,54 10 4)3 = 3,65 10 12 3;2) V = (3,18 105)3 = 3,21 1015 3.

86.

( ) ( ) ( ) +=++

331211212233 11)1

babbaababa

=

+

+=

+

22

22

22

22

33

331

22

1

2211111

aabbba

abba

baab

bababa( )

( )( )( ) ;))(( )( 3333

2233

4433

abab

baababab

aabbababbabaab

=

+

+=

++

+=

• 10

( ) ( ) =++ 1211222)2 bbaaabba=

++

=

1

2222111babab

aab

( )( ) .22 2222 2222 33 abaabb aabbabaabb baba ab =++ ++=++=87.

1) ;1313169;4416;00;11 22 ======

171

171

2891 2

=

= ;

2) ;31

31

271;55125;00;11 3 33

3 3333======

4,0)4,0(064,0;3,0)3,0(027,0 3 333 33 ====

3) ;32

32

8116;2216;11;00 4

444 4444 =

=====

.2,0)2,0(0016,0;54

54

625256 4 444

44 ===

=

88.

1) ( ) 66636 6 66 326 3 === ; 2) ( ) 22264 12 1212 2612 2 === ;3)

51

51

251 4

44

2

=

=

; 4) 1515)15(225 8 88 428 4 === .

89.

1) 1001010 23 6 == ; 2) 8133 43 12 == ;

3) 81

21

21

21

3

34

12

==

=

;

4) 811

31

31

31

4

44

16

==

=

.

• 11

90.1) 283 = ; 2) 1115 = ;

3) 31

271

271

33

== ; 4) 441024 5 55 == ;

5) 34343 3 = ; 6) 887 7 = .

91.1) 4 = 81; = 3814 = ; 1 = 3; 2 = 3;

2) 3215

=x ; 21

21

321 5

55

=

==x ;

3) 55 = 160; 5 = 32; = 5 32 = 2.4) 26 = 128; 6 = 64; = 6 64 = 2; 1 = 2 , 2 = 2.92.1) 6 32 x ,

2 3 0 , 2 3 , x23

,

1,5.: [1.5; + ).2) 3 3+ x.

3 2 12)3 x.

4) 442

32

, : 0

4232

, ..

>

042032

232

x

.. 61

61

116

10088,

116

10088

>

> ;

2) ( ) 41

41

414

1

41100

512

41100

512..,41,0

125

• 27

3) ( )

>

>

.138.

1) 51

2 66 =x . 2) 273 =x ;

512 =x . 333 =x ;

101

=x . = 3.

3) 1031 77 = x . 4) 322 12 =+x ,

1 3 = 10, 512 22 =+x . = 3. 2 + 1 = 5, = 2.

5) 142 =+x ; 6) 551 34

=

x ,02 44 =+x . 55 x43 = ,

2 + = 0, 3 4 = 1, = 2.

21

=x .

139.

72

72

72

72

72

72

121

1234

41

31

;61

623

31

21)1

=

=

=

=

.. ,072 ,

121

61

>>

72

72

41

31

31

21

>

.

• 28

53

53

711

611

511

411)2

;

;421

424849

711

611

;201

202425

511

411

53

53

53

53

53

53

=

=

=

=

,053 ,

421

201.. >>

53

53

711

611

511

411

>

.

140.1) 2732 = y , 32 33 = y . 2 = 3 = 1.2) 13 25 = x ; 025 33 = x . 5 2 = 0 = 2,5.

3) 0391x

21

=

; 391x

21

=

; 331x

212

=

. 2 = 1 = 3.

4) 08127y

313

=

; 4y

3133

33 =

. 9 = 4 = 5.141.

1) 8552

391

=

xx ; 85522 33 =xx ;

8x510x4 33 + = . 10 4 = 5 8,9 = 18 = 2.2)

494

212

=

xx ; 494 22 + = xx .

4 9 = + 4,5 = 13 = 2,6.3)

16148 13 = +xx ;

426x2x3 222 + = . 3 + 2 + 26 = 4, 5x = 30; = 6.

• 29

4) 5,72

51

525

=

xx;

5,72142

55 +

=xx .

2 4,5 = + 7,5,3 = 12 = 4.142.

1) ( )xx 333

112

=

+

, 2) ( ) xx 23

13

222

=

,

xx 23

1221

3)3( =+

, 34

31

22xx

=

.

21

3x

23

3x

= . x34

31

=