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Beliebt Algebra >

6x^3+x^2-24x-4=0

Lösung

6 x^{3} + x^{2} - 24 x - 4 = 0

Lösung

x = - \frac{1}{6}, x = - 2, x = 2

+1

Dezimale

x = - 0.16666 \dots, x = - 2, x = 2

Schritte zur Lösung

6 x^{3} + x^{2} - 24 x - 4 = 0

Faktorisiere

6 x^{3} + x^{2} - 24 x - 4 : (6 x + 1) (x + 2) (x - 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

6 x + 1 = 0 : x = - \frac{1}{6}

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

x = - \frac{1}{6}, x = - 2, x = 2

Graph

Beliebte Beispiele

solvefor x,x^3+y^3=27

so l v e f or x, x^{3} + y^{3} = 27

x^{3} + 6 x^{2} - 81 = 0

solvefor x,x^3+y^3=18

so l v e f or x, x^{3} + y^{3} = 18

solvefor x,x^3= y/2

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

x(1-(x^3)/(2000))=0

x (1 - \frac{x ^{3}}{2000}) = 0