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Beliebt Algebra >

3x^3-5x^2-4x+4=0

Lösung

3 x^{3} - 5 x^{2} - 4 x + 4 = 0

Lösung

x = - 1, x = \frac{2}{3}, x = 2

+1

Dezimale

x = - 1, x = 0.66666 \dots, x = 2

Schritte zur Lösung

3 x^{3} - 5 x^{2} - 4 x + 4 = 0

Faktorisiere

3 x^{3} - 5 x^{2} - 4 x + 4 : (x + 1) (3 x - 2) (x - 2)

(x + 1) (3 x - 2) (x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or 3 x - 2 = 0 or x - 2 = 0

Löse

x + 1 = 0 : x = - 1

Löse

3 x - 2 = 0 : x = \frac{2}{3}

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

x = - 1, x = \frac{2}{3}, x = 2

Graph

Beliebte Beispiele

x^4-3x^3-3x^2+11x-6=0

x^{4} - 3 x^{3} - 3 x^{2} + 11 x - 6 = 0

4x^3-10x^2+6x-1=10

4 x^{3} - 10 x^{2} + 6 x - 1 = 10

x^{3} - x + 7 = 0

-2(9x+4)(x^2+25)=0

- 2 (9 x + 4) (x^{2} + 25) = 0

2 = (1 + x)^{6}