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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

solvefor x,x^3y-y^2=3

so l v e f or x, x^{3} y - y^{2} = 3

x^2(x^2+4)(x^2+16)-100=0

x^{2} (x^{2} + 4) (x^{2} + 16) - 100 = 0

x^{4} - 2 x + 1 = 0

-t^3+5t^2-3t-9=0

- t^{3} + 5 t^{2} - 3 t - 9 = 0

3x^3-x^2+48x-16=0

3 x^{3} - x^{2} + 48 x - 16 = 0