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Version 7.1 von Kim Fujan am 2025/05/20 14:53
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1 (%class="abc"%)
2 1. (((
3 (%class="border slim"%)
4 |(%align="center" width="160"%){{formula}}e^{2x}-4e^x+3=0{{/formula}}
5
6 {{formula}}u:=e^x{{/formula}}
7 ⬊|(%align="center" width="160"%){{formula}}x^{2e}-4x^e+3=0{{/formula}}
8
9 {{formula}}u:=x^e{{/formula}}
10 🠗|(%align="center" width="160"%){{formula}}x^{-2}-4x^{-1}+3=0{{/formula}}
11
12 {{formula}}u:=x^{-1}{{/formula}}
13 ⬋
14 ||(%align="center"%){{formula}}u^2-4u+3=0{{/formula}}
15 (((
16
17 {{formula}}u_{1,2}=\frac{4\pm \sqrt{16-12}}{2}{{/formula}}
18
19 )))
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21 {{formula}}u_1=3 \quad;\quad u_2=1{{/formula}}|
22 |(%align="center"%)(((⬋
23 {{formula}}\_\_\_:=u{{/formula}}
24 (((
25 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
26 |
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29 )))
30 )))|(%align="center"%)(((🠗
31 {{formula}}\_\_\_:=u{{/formula}}
32 (((
33 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
34 |
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37 )))
38 )))|(%align="center"%)(((⬊
39 {{formula}}\_\_\_:=u{{/formula}}
40 (((
41 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
42 |
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45 )))
46 )))
47 )))
48 1. (((
49 (%class="border slim"%)
50 |(%align="center" width="160"%){{formula}}x^{-2}-3x^{-1}=0{{/formula}}
51
52 {{formula}}u:=\_\_\_{{/formula}}
53 ⬊|(%align="center" width="160"%){{formula}}x^{2e}-3x^e=0{{/formula}}
54
55 {{formula}}u:=\_\_\_{{/formula}}
56 🠗|(%align="center" width="160"%){{formula}}e^{2x}-3e^x=0{{/formula}}
57
58 {{formula}}u:=\_\_\_{{/formula}}
59 ⬋
60 ||(%align="center"%){{formula}}u^2-3u=0{{/formula}}
61 (((
62 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
63 |
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66 )))
67
68 {{formula}}u_1=\_\_\_\quad;\quad u_2=\_\_\_{{/formula}}|
69 |(%align="center"%)(((⬋
70 {{formula}}\_\_\_:=u{{/formula}}
71 (((
72 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
73 |
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76 )))
77 )))|(%align="center"%)(((🠗
78 {{formula}}\_\_\_:=u{{/formula}}
79 (((
80 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
81 |
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84 )))
85 )))|(%align="center"%)(((⬊
86 {{formula}}\_\_\_:=u{{/formula}}
87 (((
88 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
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92 )))
93 )))
94 )))
95 1. (((
96 (%class="border slim"%)
97 |(%align="center" width="160"%){{formula}}x^{-2}-2x^{-1}+3=0{{/formula}}
98
99 {{formula}}u:=\_\_\_{{/formula}}
100 ⬊|(%align="center" width="160"%){{formula}}x^{2e}-2x^e+3=0{{/formula}}
101
102 {{formula}}u:=\_\_\_{{/formula}}
103 🠗|(%align="center" width="160"%){{formula}}e^{2x}-2e^x+3=0{{/formula}}
104
105 {{formula}}u:=\_\_\_{{/formula}}
106 ⬋
107 ||(%align="center"%){{formula}}u^2-2u+3=0{{/formula}}
108 (((
109 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
110 |
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113 )))
114
115 {{formula}}u_1=\_\_\_\quad;\quad u_2=\_\_\_{{/formula}}|
116 |(%align="center"%)(((⬋
117 {{formula}}\_\_\_:=u{{/formula}}
118 (((
119 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
120 |
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123 )))
124 )))|(%align="center"%)(((🠗
125 {{formula}}\_\_\_:=u{{/formula}}
126 (((
127 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
128 |
129
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131 )))
132 )))|(%align="center"%)(((⬊
133 {{formula}}\_\_\_:=u{{/formula}}
134 (((
135 (%class="border slim" style="width: 100%; margin-bottom: 0px"%)
136 |
137
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139 )))
140 )))
141 )))