ணࠬ 1
४⥫ -3  "1"
ঠ  - "᫥ ୥ ⭮ ࠢ"
 ணࠬ - 1000035

  ணࠬ:
      ax^2+bx+c=0
⢨⥫ ୨  x1, x2   㫠

 x1=-b/2a+sqt(D), x2=-b/2a-sqt(D), D=(b/2a)^2-c/a

 ୨ U+-iv  ᫥騬 ࠧ:

 U=-b/2a, v=sqt(-D), D<0

室    祩:

 a->P7, b->P8, c->P9

 ᫥ 뢠  祩:

 D->P4, x1(U)->P5, x2(v)->P6

᫥ 砭  ᯫ ⮡ࠦ 祭 ਬ D. ᫨ 
⥫쭮,  ᫥ ⢨⥫ ୨ x1  x2.  ⨢ 砥 
 祩 5  6 室 ⢨⥫쭠     ୥.

  짮 ணࠬ:

1.   1000035,       室 .
2.  ,   /, /. ६ 襭 ਬ୮ 7 .
3.  १ (1,2  U,V   ᨬ   ᯫ).

⮢ ਬ:

1. x^2+x-6=0; D=6,25; x1=2, x2=-3.
2. 2x^2-3x+5=0; D=-1,9375; U=0,75, V=1,391941.

00  68 | 20  0
01  67 | 21  66
02  02 | 22  11
03  12 | 23  51
04  13 | 24  27
05  0L | 25  0L
06  45 | 26  21
07  22 | 27  46
08  69 | 28  64
09  67 | 29  50
10  13 | 30  00
11  11 | 31  00
12  44 | 32  00
13  59 | 33  00
14  25 | 34  00
15  21 | 35  00
16  46 | 36
17  65 | 37
18  10 | 38
19  45 | 39
-------------------------------------------------------------------------------

ணࠬ 2
४⥫ -3  "1"
ঠ  - "᫥ ୥ 㡨᪮ ࠢ 
 ணࠬ - 1007084

  ணࠬ:
᫥ ୥ 㡨᪮ ࠢ  x^3+px^2+qx+t=0, 
 p, q, t - ⢨⥫ 樥 ࠢ. ୨ ࠢ 1, 2,
3   ⢨⥫,  ७ 2 ⢨⥫,   㣨 -
᭮-ᮯ殮 U+-iV.  ⢨⥫ ७ ࠢ  室
⮤  १ ,  ⮬ ணࠬ ᠬ 롨ࠥ 砫쭮 
ਡ. ᫥ 宦  1 ।  童  
⠫     㫥 . ॢ 㡨᪮ ࠢ-
 ax^3+bx^2+cx+d=0    樥 a ८ࠧ   
ࠢ.

室    祩:

 p->P7, q->P8, t->P9, E->P6 (筮 ᫥ ୥)

 ᫥ 뢠  祩:

 x1->P1, x2(U)->P2, x3(V)->P3

  짮 ணࠬ:

1.   1007084,       室 .
2.  ,   /, /. ६ 襭 (t) 
    祭 :

    | 10^-2 | 10^-3 | 10^-4 |
   ---------------------------
   t |   90  | 120   | 140   |

3.  १. ᫨ ᯫ 뢠 0,  ࠢ   
   ⢨⥫ ; ᫨ ᯫ 뢠 1,  ࠢ  
    ⢨⥫ ७   ᭮-ᮯ殮.

⮢ ਬ:

1. x^3-x^2+4x-4=0; E=10^-3, ᯫ - 1, x1=1, U+-iV=0+-2i
2. x^3+2x^2-x-2=0; E=10^-3, ᯫ - 0, x1=1,x2=-2, x3=1.

00  67 | 20  13 | 40  61 | 60  42
01  22 | 21  42 | 41  60 | 61  22
02  21 | 22  67 | 42  11 | 62  65
03  68 | 23  10 | 43  66 | 63  00
04  22 | 24  62 | 44  11 | 64  5C
05  21 | 25  12 | 45  5C | 65  00
06  10 | 26  68 | 46  16 | 66  00
07  69 | 27  10 | 47  61 |
08  22 | 28  62 | 48  67 |
09  21 | 29  12 | 49  10 |
10  10 | 30  69 | 50  44 |
11  01 | 31  10 | 51  61 |
12  10 | 32  5C | 52  12 |
13  41 | 33  38 | 53  68 |
14  0L | 34  62 | 54  10 |
15  40 | 35  40 | 55  45 |
16  60 | 36  51 | 56  64 |
17  61 | 37  40 | 57  02 |
18  10 | 38  62 | 58  13 |
19  02 | 39  41 | 59  0L |

ணࠬ 3
४⥫ -3  "1"
ঠ  - "᫥ ।⥫ 쥣 浪"
 ணࠬ - 1023835

  ணࠬ:
᫥ ।⥫ 쥣 浪 det A.


           a11 a12 a13 
                       
  det A =  a21 a22 a23  =a33(a11*a22-a21*a12)+a32(a21*a13-a21*a11)+
                         +a31(a12*a23-a22*a13).
           a31 a32 a33 

室    祩:

 a11->P7, a12->P8, a13->P9, 

 a21->P4, a22->P5, a23->P6,

 a31->P1, a32->P2, a33->P3/

 ᫥ det A 뢠  祩   ⮡ࠦ  ᯫ.

  짮 ணࠬ:

1.   1023835,       室 .
2.  ,   /, /. ६ 襭 ਬ୮ 8 .
3.  १.

⮢ ਬ:

        1  4 -1 
        5  0  3  = 140
        6  9 -7 

00  67 | 20  66 | 
01  65 | 21  12 | 
02  12 | 22  65 | 
03  64 | 23  69 | 
04  68 | 24  12 | 
05  12 | 25  11 | 
06  11 | 26  61 | 
07  63 | 27  12 | 
08  12 | 28  10 | 
09  64 | 29  4- | 
10  69 | 30  50 | 
11  12 | 31  00 | 
12  66 | 32  00 | 
13  67 | 33  00 | 
14  12 | 34  00 | 
15  11 | 35  00 | 
16  62 | 
17  12 | 
18  10 | 
19  68 | 

ணࠬ 4
४⥫ -3  "1"
ঠ  - "᫥ ।⥫ ⢥⮣ 浪"
 ணࠬ - 1030884

  ணࠬ:
᫥ ।⥫ ⢥⮣ 浪 det A.


           a11 a12 a13 a14
                                 a21 a22 a23       a11 a12 a13
  det A =  a21 a22 a23 a24 =-a14*a31 a32 a33 + a24*a31 a32 a33 -
                                 a41 a42 a43       a41 a42 a43
           a31 a32 a33 a34
                                 a11 a12 a13       a11 a12 a13
           a41 a42 a43 a44  -a34*a21 a22 a23 + a44*a21 a22 a23
                                   a41 a42 a43       a31 a32 a33

室    祩:

 a11->P7, a12->P8, a13->P9, 

 a21->P4, a22->P5, a23->P6,

 a31->P1, a32->P2, a33->P3.

 a41->P0, a42->Pa, a43->Pb

 ᫥ det A 뢠  祩 d  ⮡ࠦ  ᯫ.

  짮 ணࠬ:

1.   1023835,       室 .
2.  ,   /, /. ६ 襭 ਬ୮ 10 .
3.  a14->x.  ,   /. ६ 襭 ਬ୮ 15 .
4.  a24->x.  ,   /. ६ 襭 ਬ୮ 15 .
5.  a34->x.  ,   /. ६ 襭 ਬ୮ 10 .
6.  a44->x.  ,   /. ६ 襭 ਬ୮ 3 .
7.  १.

⮢ ਬ:

        2  1  2  5 
        3  2  3  4  = 204
        1  5  6  7 
        2  8  3  4 

00  00 | 20  47 | 40  68 | 60  6L | 80  4
01  4 | 21  69 | 41  4- | 61  12 | 81  52
02  53 | 22  63 | 42  67 | 62  11 | 83  00
03  47 | 23  49 | 43  40 | 63  65 | 84  00
04  69 | 24  14 | 44  53 | 64  12 |
05  66 | 25  43 | 45  47 | 65  10 |
06  49 | 26  68 | 46  50 | 66  61 |
07  14 | 27  62 | 47  62 | 67  6- |
08  46 | 28  48 | 48  6L | 68  12 |
09  68 | 29  14 | 49  12 | 69  62 |
10  65 | 30  42 | 50  63 | 70  60 |
11  48 | 31  67 | 51  6- | 71  12 |
12  14 | 32  61 | 52  12 | 72  11 |
13  45 | 33  47 | 53  11 | 73  66 |
14  67 | 34  14 | 54  64 | 74  12 |
15  64 | 35  41 | 55  12 | 75  10 |
16  47 | 36  53 | 56  63 | 76  50 |
17  14 | 37  47 | 57  60 | 77  12 |
18  44 | 38  69 | 58  12 | 78  6 |
19  53 | 39  4L | 59  61 | 79  11 |


ணࠬ 5
४⥫ -3  "1"
ঠ  - "襭 ⥬   ࠨ᪨ ࠢ"
 ணࠬ - 1047635

  ணࠬ:
襭 ⥬   ࠨ᪨ ࠢ 
     1. detA = a11*a22-a21*a12
     2. x1 = (a22*b1-a12*b2)/detA, det A#0
     3. x2 = -(b-a11*x1)/a12
 ࢮ ⠯  ।⥫ detA  ஢ ᫮ detA#0.
᫨  믮,   x1, x2. ᫨ ᫮  믮
(detA=0),  ⥬   襭  ᯫ ࠦ . 

室    祩:

 a11->P7, a12->P8, b1->P9, 

 a21->P4, a22->P5, b2->P6,

 ᫥ 뢠  祩:

 x1->P1, x2->P2, detA->P3

  짮 ணࠬ:

1.   1047635,       室 .
2.  ,   /, /. ६ 襭 ਬ୮ 8 .
3.  १.  

⮢ ਬ:

1. 5*x1-8*x2=-7; 2*x1+6*x2=9; detA=46; x1=0.6521739; x2=1.2826087
2. 3*x+4*y=24; 6*x+8*y=48; detA=0; ()

00  67 | 20  69 |   
01  65 | 21  67 |   
02  12 | 22  61 |   
03  64 | 23  12 |   
04  68 | 24  11 |   
05  12 | 25  68 |   
06  11 | 26  13 |   
07  43 | 27  42 | 
08  57 | 28  51 | 
09  30 | 29  31 | 
10  65 | 30  23 | 
11  69 | 31  50 | 
12  12 | 32  00 | 
13  68 | 33  00 | 
14  66 | 34  00 | 
15  12 | 35  00 | 
16  11 | 
17  63 | 
18  13 | 
19  41 | 
           