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Beliebt Algebra >

x^3-30x^2-625x+7500=0

Lösung

x^{3} - 30 x^{2} - 625 x + 7500 = 0

Lösung

x = - 20, x = 5 (5 + 10), x = 5 (5 - 10)

+1

Dezimale

x = - 20, x = 40.81138 \dots, x = 9.18861 \dots

Schritte zur Lösung

x^{3} - 30 x^{2} - 625 x + 7500 = 0

Faktorisiere

x^{3} - 30 x^{2} - 625 x + 7500 : (x + 20) (x^{2} - 50 x + 375)

(x + 20) (x^{2} - 50 x + 375) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 20 = 0 or x^{2} - 50 x + 375 = 0

Löse

x + 20 = 0 : x = - 20

Löse

x^{2} - 50 x + 375 = 0 : x = 5 (5 + 10), x = 5 (5 - 10)

Die Lösungen sind

x = - 20, x = 5 (5 + 10), x = 5 (5 - 10)

Graph

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