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Beliebt Algebra >

x^3-4x^2-29x-24=0

Lösung

x^{3} - 4 x^{2} - 29 x - 24 = 0

Lösung

x = - 1, x = - 3, x = 8

Schritte zur Lösung

x^{3} - 4 x^{2} - 29 x - 24 = 0

Faktorisiere

x^{3} - 4 x^{2} - 29 x - 24 : (x + 1) (x + 3) (x - 8)

(x + 1) (x + 3) (x - 8) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x + 3 = 0 or x - 8 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x + 3 = 0 : x = - 3

Löse

x - 8 = 0 : x = 8

Die Lösungen sind

x = - 1, x = - 3, x = 8

Graph

Beliebte Beispiele

a^{3} + a^{2} - 3 = 0

x^2(x^2-1)=16(x^2-1)

x^{2} (x^{2} - 1) = 16 (x^{2} - 1)

x^{3} - 4 x^{2} + 13 x = 0

6x^4-x^3-22x^2+11x+6=0

6 x^{4} - x^{3} - 22 x^{2} + 11 x + 6 = 0

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

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