Die Lösungen sind x = 3 und x = -0,5.
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- a = 2, b = -5, c = -3
- Diskriminante: D = b² - 4ac = 25 - 4·2·(-3) = 25 + 24 = 49
- x = [5 ± â49]/(2·2) = (5 ± 7)/4 â x = 12/4 = 3 oder x = -2/4 = -0,5
- Eine Lichtwelle hat eine Wellenlänge von 600 nm im Vakuum. Wie lange dauert sie, um durch Glas mit Brechungsindex 1,5 zu reisen? (Lichtgeschwindigkeit im Vakuum: 3Ã10⸠m/s)
- Lichtgeschwindigkeit im Glas: v = c / n = 3Ã10⸠/ 1,5 = 2Ã10⸠m/s.
- Zeit = Distanz / Geschwindigkeit = 600Ã10â»â¹ / 2Ã10⸠= 3Ã10â»â¶ Sekunden = 3 μs.
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