Lösung von quadratischen Gleichungen
Löse die quadratischen Gleichungen mit dem Satz von Vieta.
Probiere dazu einfache Lösungen aus.
a) x² + 7x + 12 = 12
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x1 |
3 |
- 3 |
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x2 |
4 |
- 4 |
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x1 + x2 |
+ 7 |
- 7 |
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- p |
- 7 |
- 7 |
|
x1 * x2 |
12 |
12 |
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q |
12 |
12 |
b) x² + 9x +18 = 0
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x1 |
- 3 |
|
x2 |
- 6 |
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x1 + x2 |
- 9 |
|
- p |
- 9 |
|
x1 * x2 |
18 |
|
q |
18 |
c) x² - 4x + 4 = 0
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x1 |
2 |
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x2 |
2 |
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x1 + x2 |
4 |
|
- p |
4 |
|
x1 * x2 |
4 |
|
q |
4 |
d) x² - 6x + 8 = 0
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x1 |
2 |
|
x2 |
4 |
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x1 + x2 |
6 |
|
- p |
6 |
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x1 * x2 |
8 |
|
q |
8 |
e) x² -13x + 30 = 0
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x1 |
3 |
|
x2 |
10 |
|
x1 + x2 |
13 |
|
- p |
13 |
|
x1 * x2 |
30 |
|
q |
30 |
f) x² + 2x -80 = 0
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x1 |
8 |
|
x2 |
- 10 |
|
x1 + x2 |
-2 |
|
- p |
- 2 |
|
x1 * x2 |
- 80 |
|
q |
- 80 |