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Beliebt Algebra >

3x^3-4x^2-27x+36=0

Lösung

3 x^{3} - 4 x^{2} - 27 x + 36 = 0

Lösung

x = \frac{4}{3}, x = - 3, x = 3

+1

Dezimale

x = 1.33333 \dots, x = - 3, x = 3

Schritte zur Lösung

3 x^{3} - 4 x^{2} - 27 x + 36 = 0

Faktorisiere

3 x^{3} - 4 x^{2} - 27 x + 36 : (3 x - 4) (x + 3) (x - 3)

(3 x - 4) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

3 x - 4 = 0 or x + 3 = 0 or x - 3 = 0

Löse

3 x - 4 = 0 : x = \frac{4}{3}

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = \frac{4}{3}, x = - 3, x = 3

Graph

Beliebte Beispiele

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(x + 7)^{3} (x - 2 i) (x + 2 i) = 0

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4 x^{3} + 7 x^{2} - 12 x - 21 = 0

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0=10x^3+19x^2-5x-6

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