# ГДЗ - алгебра - 9 класс - Мордкович

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• 2 9

9 .:

.. . .: , 2000 .

-

• 3

..........................................................................................4 1.

1. .......................................... 20 2. ........................................................... 27 3. ............................................ 42 ........................................................... 68

2. 5. ......................................................................... 75 6. ............................................ 89

7. ............................................................................................ 115

3. 9. . , ........................................ 132

10. ........................................................ 142 11. ..................................................................... 146 12. .................................................... 154 13. = n (n N), ...................... 160 14. = n (n N), .................... 171

15. = mf(x), = f(x) ....................................... 180

......................................................... 186

4. 17. .................................................................... 189

18. .................................................... 197 19. ...................................................... 208

5. 21. ................................................................ 219 22. .................. 223 23. . .................................... 227 24. ............. 235

25. ............................ 241 26. y = sin x, y = cos x, ............................. 245 ........................................................................ 253

• 4 1.

)

=3

131027

3689

1210365,0:

3147,2)

36172

1278(

==4

3223

201027

36220

65100 .

659

320 =

)

+=

+158

100144

3613

24355625,0

15844,1

3613

24111

==5015

1002131

100005625 .32,2

100232 =

2.) 222 2155153)3(5)5(3 =+= ;) 222 2322)23()(2 yyxyyyxxyyyxy =+=+ .

3.) 05)12(2)52(2 2 = xxxx , 0524522 22 =++ xxxx ,

03 =x , 3=x ;) 031)712(5,0)2(6 2 =+ xxxx , 0315,36126 22 =++ xxxx ,

315,15 =x , 2=x .4.

=++++ ))(2())(2())(2( bacbacabacbcacb+++++= bcaccabaacabbcbaccbc 2222 2222

022 22 =+++ bcbabacaba .5.

) 222 2)( xaxaxa ++=+ ; ) 93636)36( 2 += bbb ;) 222 94864)38( yxyxyx ++=+ ; ) 222 43681)29( qpqpqp += .

6.) 19)13)(13( 2 =+ aaa ; ) 1)1)(1( 32 =++ xxxx ;) 462323 25100)510)(510( yxyxyx =+ ;) 64)164)(4( 32 +=++ xxxx .

7.) :8,0=a =+++=+ 15223)3)(5()2)(1( 22 aaaaaaaa

=+= 17a 8,1717)8,0( =+ ;

• 5) :5,0=m906)81(96)9)(9()3( 222 +=++=++ mmmmmmm

8790390)5,0(6 =+=+= ;) :

61=a

+=+++ aaaaaaaaa 21243)5)(2()4)(3( 22

226105 = aa 212212261)6( ==

= ;) :25,0=c =+=+++=++ 2041644)4)(4()2( 222 ccccccc

19204)25,0( =+= .8.

) 9609610)4353)(4353(4353 22 ==+= ;) ==+= 26014

910)123137)(123137(

910123137

91022 4

1 ;

) ==+

+=

24363162126

)90153)(90153()18144)(18144(

9015318144

22

22

34 ;

) 78,0100

108,7100

)3,17,8(8,7100

3,18,77,88,7 ==+=+ .9.

) )3(32 +=+ xaxaxax ;) )423(5201015 2232223 yxyyxyxyxyx +=+ ;) )65(65 2222 bbababa = ;) )17715(1322191195 523531036556 ppccpcpcpcpc +=+ .

10.) ))(()()( cxbacbaxbabcacbxax ++=+++=+++ ;) ))(4()(4)(444 baybababaybya ++=+++=+++ ;) ==+ )59()(5)(95599 2 mnmnmmnmmnm )( nm ;) =+++=+++ )2(5)2(163210516 22222322 cbccbaacccbab

)2)(516( 22 cbca ++= .11.

) 1817)117(171717 5556 =+=+ 18;) 903103)13(333 13152151517 ==+=+ 90;) 4342)142(424242 71778 =+=+ 43;) 72292)12(222 17203202023 ==+=+ 72.

• 612.) +=+ )2,12,6(7,27,22,13,92,62,13,92,67,2

60125)7,23,9(553,97,25)2,12,6(3,9 ==+=+=+ ;) ++=+ 82(31)8348(125831254331823148125

12500100125)31131(12512531131125)43 ====+ ;) =+ )37109(17,9722,117,9377237,517,9109

360572)17,417,9(7217,4727217,9)2,137,5(72 ==== ;) +=++ )1618(9,19161,30181,30169.19189.19

100)9,191,30(22 1,309,192)1618(1,30 =+=+=+ .13.

) )7)(7(492 += mmm ;) )3)(3(3)(9 2222 +== acacacca ;) )98)(98(8164 22 qpqpqp += ;) ))((10)(101010 2222 yxyxyxyx +==+ .

14.) )164)(4(464 2333 ++== ccccc ;) =+=+ 222224 )2(252)5(42025 baaabbaa 222 )25( ba ;) 22222 )(5)2(55105 bababababa +=++=++ ;) ))((15)(151515 223333 dadadadada ++=+=+ .

15.) ==+ xyxyyxxyxyyxx ()()( 223223

)()())( 222 yxyxyxy += ;) ==+=+ dddddd (3)8(964165516 2222

)5)(11()38)(38 =+ ddd ;) +=+= mnmmnnmnmnm )(2()2(442 2222

)12)(2()2()2 +=+ nmmnmnn ;) =+=++=++ 25)8(2564163916 222 nnnnn

)13)(3()58)(58( ++=+++= nnnn .16.

) 76

)(7)(6

7766 =+

+=++

baba

baba ;

) aamama

ammmama

mamamma =

==

)()()(

2

22;

• 7) 41

)2(4)2(

)2(8)2(2

81642 =

==

pq

pqpqqp

pqqp ;

) yxzxzy

xzyzxy

xyZyzyxy =

==

)()()(

3

4

33

44.

17.

) 7

1)7(7

49147

22 ==+

bb

bbb

b ;

) yxyx

yxxyxy

yxyxxy

+=

+=+

222

22

)())((

2;

) =+++=+

+=++

1525)1525)(15(

15251)5(

25511125

2

2

2

3

2

3

yyyyy

yyy

yyy 15 +y ;

) 12

1)124)(12(

12418

1242

2

3

2

+=+++=+

+tttt

ttt

tt .

18.

) 72

2323

91)3(26)3(

)199(9)127(27

9992727

12

12

62

43

26

4

678

45=

==++

=++ ;

) 102

5211)2(55)2(

)144(4)188(8

444888

26

27

132

93

213

29

131415

91011==

==

.

19.

) 22

2

2

2)1(1221

xx

xxx

xx

x=+=+ ;

) ( )( )( )

2242553353

yxyx

yxyxyxyx

yxyx +=+

++=++ ;

) 66

3232

346

2 1

5511551dd

dddddd

dd

d =++=+ ;

) )1(42

53)1(42

1835)1(7

3)1(6

577

366

5+=+

+=+++=+++ cc

ccc

cc

cc

cc

cc .

20.

) =+=+

+22 )2(

)2(5232

544

23c

ccccc

c 2)2()6(2

cc ;

) 8

2)42)(2(424

21

84

32

22

3

2

+=++++=++

+y

yyYyyyy

yyy ;

• 8) =+

++

2392

3263

492)316(3

2 aa

aa

aaa

=+++=

)23)(23()23)(92()23)(63(948 2

aaaaaaaa

( )( ) 231

2323182746121869948 222

+=+++=

aaaaaaaaaaa .

( ).

) =++ nmnmm

nmmn 122

2233

=++++++=

))()(())(()(2)(2

22

2222

nmnmnmnmnmnmnmnmnmmnmmn

=+=

))(( 3333

nmnmnm

33

22

33

22

))(())((

nmnmnm

nmnmnmnmnm

+++=+

++ .

21.

) ( )( )x

yxyxxy

yyxyxyx

yxy

yx +=+=

)(333

3

22;

) c

cc

dcdcc

dc

cdc

4)7(

)7(25

10)7)(7(

5142:

10492 =+

+=+ ;

) =++

=

++

)5(2)4)(4(

)4(3)5(

16102:

1232510 2

2

2

xxx

xx

xx

xxx

6)4)(5( xx ;

) =+++

++=+++

+42

)94()94(3

)42)(2(42

9427128

2

2

22

3

ttt

ttttt

ttt

ttt

tt3

2+ .

22.

) =+++=+

++ )(

)(2)()(2

2ba

baaabbaba

bab

aba

aba 22 + ;

)

=+

+ )()() 22 mnmn

mnnm

nmmn

mnmn

mnnm

1))(())((

)(

22=+

+=+=+ nmmn

nmnmnm

mnmnmn

nmnm

mn .

23.

) ababab

abab

abab

abab

abba +=+

==

1

))((:11

22

22;

• 9) +++=

+++

)5(1

3)5)(5(

35

51

325

22

2

aaaaa

aaa

aaaa

=+++=

+)3)(3(

)3)(5()3)(5()3(

5aaa

aaaaaa

a9

162 a .

24.

)

=+=

;102,1435

yxyx

==

;210,1435

xyyx

==+

;210,146305

xyxx

=

=;210

,4411xy

x

==

;24

yx

)

==+

;567,5543

baba

=

=+;567

,55224283ab

aa

==

;7,9

ba

)

==

;9054,3074

yxyx

=+

+=;905730

,7304yyyx

=

+=;602

,7304y

yx

==

;30,60

yx

)

=+=+

;144,1142

baba

=+

=;11124

,1124aaab

=

=;126

,1124a

ab

==

;47

,2

b

a

25.

)

=+=+

;55,22,154

yxyx 2.

=+=+

;1054,154

yxyx , , . .

)

==

;434

,1234

yx

yx

==+

;434

,12123434

xy

xx

==

;434

,00

xy

x

( ;x )434 x ,

.26.

) 31314

7135

169196

7135

169271

7135 === ;

) =+=164

)124165)(124165(164

124165 22 5,82

174

289 == ;

) 0447

16474

49256

474

49115

474 ==== ;

) =++=

)5,315,193)(5,315,193()5,965,145)(5,965,145(

5,315,1935,965,145

22

22

• 10

13577

159117

22516224249