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

    =