3 rownania wielomianowe+odp, matematyka srednia


Rozdział 3 - RÓWNANIA WIELOMIANOWE

Lp.

Równanie

Postać uproszczona

WYNIK

1

x3-5x2=x-5

x0x01 graphic

Z={-1;1;5}

2

4x3+12x2=x+3

4x3+12x2-x-3=0

Z={-3,-0x01 graphic
}

3

x3+5x2+2x-8=0

(x-1)(x2+6x+8)=0

Z={-4,-2,1}

4

x3-7x+6=0

(x-1)(x2+x-6)=0

Z={-3;1;2}

5

x4-7x2+10=0

x2=k; k2-7k+10=0; k1=2; k2=5

Z={-0x01 graphic
}

6

x3-3x-2=0

(x+1)(x2-x-2)=0

Z={-10x01 graphic
,2}

7

x5-x4-5x3+5x2+6x-6=0

(x-1)(x4-5x2+6)=0

Z={-0x01 graphic
0x01 graphic
0x01 graphic
}

8

12x4+7x3+7x-12=0

(x2+1)(12x2+7x-12)=0

Z={-0x01 graphic
}

9

2x4-5x3+5x-2=0

(x2-1)(2x2-5x+2)=0

Z={-1;0x01 graphic
;1;2}

10

x3+2x2-3x-10=0

(x-2)(x2+4x+5)=0

Z={2}

11

x3-x2+4x-4=0

(x2+4)(x-1)=0

Z={1}

12

x4-3x3+4x2-6x+4=0

(x-1)(x2+2)(x-2)=0

Z={1;2}

13

x3+x2-5x-5=0

(x2-5)(x+1)=0

Z={-0x01 graphic
}

14

x3-4x2=5x-20

(x2-5)(x-4)=0

Z={-0x01 graphic
}

15

x5+x4-x3-x2-2x-2=0

(x+1)(x4-x2-2)=0

Z={-0x01 graphic
}

16

x4+3x3-x2-9x-6=0

(x+2)(x2-3)(x+1)=0

Z={-0x01 graphic
}

17

x3-0x01 graphic
x2-x+0x01 graphic
=0

(x2-1)(x-0x01 graphic
)=0

Z={-1;1;0x01 graphic
}

18

2x3+3x2+6x-9=0

(x-0x01 graphic
)(2x2+6x+9)=0

Z={0x01 graphic
}

19

2x5-x4+10x3-5x2+12x-6=0

(2x-1)(x4+5x2+6)=0

Z={0x01 graphic
}

20

4x3+2x2-4x-2=0

(x-1)(x+1)(4x+2)=0

Z={-1,-0x01 graphic
,1}

21

x3+3x2-9x-27=0

(x2-9)(x+3)=0

Z={-3;3}

22

5x3+2x2-20x-8=0

(5x+2)(x-2)(x+2)=0

Z={-2,- 0x01 graphic
,2}

23

x3+x2-16x-16=0

(x+1)(x2-16)=0

Z={-4,-1,4}

24

x4-6x3+9x2=0

x2(x-3)2=0

Z={0;3}

25

x3-9x2+15x-7=0

(x-1)2(x-7)=0

Z={1;7}

26

2x3-11x2+12x+9=0

(x-3)2(2x+1)=0

Z={-0x01 graphic
}

27

2x3-3x2+6x-5=0

(x-1)(2x2-x+5)=0

Z={1}

28

x3-5x2+2x+8=0

(x+1)(x-2)(x-4)=0

Z={-1;2;4}

29

x3-x2+3x+5=0

(x+1)(x2-2x+5)=0

Z={-1}

30

(x2+2x)2-(x+1)2=55

Z={-4;2}

31

0x01 graphic
+x3=0

Z={-1;0}

32

80x01 graphic
+(x-1)(x2+4)=0

Z={-2;1}

33

30x01 graphic
-(x+2)(x2-1)=0

Z={-2;2}

34

x3-2x2+3x-2=0

(x-1)(x2-x+2)=0

Z={1}

35

x4-3x3+x-3=0

Z={-1;3}

36

x5+x4+3x3+3x2-4x-4=0

Z={-1;1}

37

x3+x2-x-1=0

Z={-1;1}

38

x3-5x2-x+5=0

(x-5)(x2-1)=0

Z={-1;1;5}

39

x3+2x2-4x-8=0

(x+2)(x2-4)=0

Z={-2;2}

40

(x2+2x)2-x2=0

x2(x2+4x+3)=0

Z={-3;-1;0}

41

(x3-5)2-36=0

Z={0x01 graphic
;-1}

42

(x4+13)-0x01 graphic
=0

Z={-13;-1;1;13}

43

x3+4x2-2x-8=0

(x+4)(x2-2)=0

Z={-4;-0x01 graphic
;0x01 graphic
}

44

x3-3x2+4x-12=0

Z={3}

45

x5+4x3-x2-4=0

Z={1}

46

3x3+5x2-12x-20=0

Z={-2;-0x01 graphic
2}

47

2x3+7x2+7x+2=0

Z={-2,-1,-0x01 graphic
}

48

3x3-7x2-7x+3=0

Z={-1,0x01 graphic
,3}

49

4x3-13x2-13x+4=0

Z={-1,0x01 graphic
,4}

50

5x3+21x2-21x-5=0

Z={-5,-0x01 graphic
,1}

51

x3+12x2+44x+48=0

Z={-6,-4,-2}

52

x3-9x2+23x-15=0

Z={1;3;5}

53

x4+x3-14x2+26x-20=0

Z={-5;2}

54

x4-3x3-14x2-20x-24=0

Z={-2;6}

55

2x5+3x4-2x-3=0

Z={-0x01 graphic
,-1,1}

56

5x5+4x4-5x-4=0

Z={-1,-0x01 graphic
1}

57

3x5-2x4+3x-2=0

Z={0x01 graphic
}

58

2x6-8x4-2x2+8=0

(x-2)(x+2)(2x4-2)=0

Z={-2,-1,1,2}

59

x3-4x2+x+6=0

(x-2)(x2-2x-3)=0

Z={-1;2;3}

60

2x4-21x3+74x2-105x+50=0

(x-2)(x-1)(2x2-15x+25)=0

Z={1;2;0x01 graphic
;5}

61

x4+5x3+4x2-24x-24=0

(x+1)(x-2)(x2+6x+12)=0

Z={-1;2}

62

10x3-3x2-2x+1=0

(x+0x01 graphic
)(10x2-8x+2)=0

Z={-0x01 graphic
}

63

(x-1)3 +(2x+3)3=27x3+8

(x-3)(-6x2-7x-2)=0

Z={0x01 graphic
}

64

(x2-5x+7)2-(x-2)(x-3)=1

(x-3)(x-2)(x2-5x+7)=0

Z={2,3}

65

(x+1)(x2+2)+(x+2)(x2+1)=2

(x+1)(2x2+x+2)=0

Z={-1}

66

(x2+2x)2-(x+1)2=55

(x-2)(x+4)(x2+2x+7)=0

Z={-4,2}

67

x8-15x4-16=0

(x2-4)(x2+4)=0

Z={-2,2}

68

8x6-7x3-1=0

x3=k; 8k2-7k-1=0; k1=-0x01 graphic
; k2=1

Z={0x01 graphic
}

69

x7-5x5+4x3=0

Z={-2,-1,0,1,2}

70

x6-7x3-8=0

Z={-1,2}

71

x8+x4-2=0

Z={-1,1}

72

x7-17x5+16x3=0

x3(x4-17x2+16)=0; x2=k

Z={-4,-1,0,1,4}

73

30x01 graphic
+4x3=0

Z={0x01 graphic
}

74

x3+3x2-2x-6=0

(x+3)(x2-2)=0

Z={-3,0x01 graphic
}

75

x3-0x01 graphic
=0

x3-x2+2x=0 lub x3+x2-2x=0

Z={0,1}

76

2x4+5x3+5x2-2=0

0x01 graphic

Z={-1,0x01 graphic
}

77

5x3-31x2+31x-5=0

Z={1,5,0x01 graphic
}

78

12x3+13x2-13x-12=0

Z={1,0x01 graphic
}

79

x3+2x2-16x-32=0

(x2-16)(x+2)=0

Z={-2,-4,4}

80

x4+2x3-13x2+10x=0

Z={0,-5,1,2}

81

x3+4x2-27x=90

Z={-3,-6,5}

82

x3-9x2+26x-24=0

Z={2,3,4}

83

4-2x2(3-x2)-(1-x2)=0

Z={-1,1,0x01 graphic
}

84

x3-5x2-x+15=0

Z={-1,1,5}

85

x4-3x3+x2+3x-2=0

Z={-1,2,1}

86

x4-3x3-8x2+12x+16=0

Z={-2,-1,2,4}

87

2x3-3x2-3x+2=0

Z={-1,0x01 graphic
,2}

88

3x2=0x01 graphic

Z={-1,0,4,-4,1}

89

0x01 graphic

Z={3,1,-3,-1}

90

x5-4x3+x2-4=0

(x2-4)(x3+1)=0

Z={-2,-1,2}

91

x3-x2-x+1=0

(x-1)(x2-1)=0

Z={-1,1}

92

3x4-10x3+10x-3=0

(x+1)(x-1)(3x2-10x+3)=0

Z={-1,1,0x01 graphic
,3}

93

x3-7x2-3x+21=0

(x-7)(x2-3)=0

Z={7;0x01 graphic
;-0x01 graphic
}

94

2x3-6x2+5x-15=0

(x-3)(2x2+5)=0

Z={3}

95

3x3+6x2+7x+14=0

(x+2)(3x2+7)=0

Z={-2}

96

x3+4x2-x-4=0

(x+4)(x2-1)=0

Z={-4;1;-1}

97

x3+7x2-x-7=0

(x+7)(x2-1)=0

Z={-7;1;-1}

98

x4+5x3-x-5=0

(x+5)(x3-1)=0

Z={-5;1}

99

x5+3x4-5x3-15x2+4x+12=0

(x+3)(x4-5x2+4)=0

Z={-3;-1;1;-2;2}

100

100. x5+7x4-10x3-70x2+9x+63=0

(x+7)(x4-10x2+9)=0

Z={-7;-3;3;-1;1}

101

101. 4x3-2x2+6x-3=0

(2x-1)(2x2+3)=0

Z={0x01 graphic
}

102

102. x3-7x2+15x-9=0

(x-1)(x2-6x+9)=0

Z={1;3}

103

103. x3-9x2+26x-24=0

(x-2)(x2-7x+12)=0

Z={2;3;4}


Wyszukiwarka

Podobne podstrony:
5 rownania wymierne+odp, matematyka srednia
7 rownania wykladnicze+odp, matematyka srednia
4 nierownosci wielomianowe+odp, matematyka srednia
1 rownania kwadratowe zad+odp, matematyka srednia
10 nierownosci logarytmiczne+odp, matematyka srednia
2 nierownosci kwadratowe+odp, matematyka srednia
6 nierownosci wymierne+odp, matematyka srednia
8 nierownosci wykladnicze+odp, matematyka srednia
rownania wielomianowe, Matematyka
równania wielomianowe, Matematyka, Liceum
odp matematyka 2
Równania praca kl 6 C, Matematyka, kl 6
06 Rownania i nierownosci odp
odp matematyka
05 Rownania i nierownosci odp

więcej podobnych podstron