Wiki-Quellcode von Lösung Funktionsterm bestimmen
Version 3.1 von Simone Hochrein am 2025/10/01 12:13
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| author | version | line-number | content |
|---|---|---|---|
 |
1.1 | 1 | Mit den Nullstellen {{formula}}x_1=-3{{/formula}} und {{formula}}x_2=2{{/formula}}: |
| 2 | |||
| 3 | {{formula}} | ||
| 4 | \begin{aligned} | ||
| |
2.1 | 5 | &f(x) &= a \cdot (x + 3) \cdot (x - 2) ~~~(1) |
| |
1.1 | 6 | \end{aligned} |
| 7 | {{/formula}} | ||
| 8 | |||
| 9 | Mit {{formula}}P(0|3){{/formula}}: | ||
| 10 | |||
| 11 | {{formula}} | ||
| 12 | \begin{aligned} | ||
| |
2.1 | 13 | &f(0) &= -3 ~~~(2) |
| |
1.1 | 14 | \end{aligned} |
| 15 | {{/formula}} | ||
| |
2.1 | 16 | |
| 17 | {{formula}}(2){{/formula}} in {{formula}}(1){{/formula}}: | ||
| 18 | |||
| 19 | {{formula}} | ||
| 20 | \begin{aligned} | ||
| 21 | a \cdot (0 + 3) \cdot (0 - 2) &= -3\\ | ||
| 22 | -6a &= -3 \\ | ||
| 23 | ~a &= 0,5 \\ | ||
| 24 | \end{aligned} | ||
| 25 | {{/formula}} | ||
| 26 | |||
| 27 |