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Beliebt Algebra >

x^3+4x^2-47x-210=0

Lösung

x^{3} + 4 x^{2} - 47 x - 210 = 0

Lösung

x = - 5, x = - 6, x = 7

Schritte zur Lösung

x^{3} + 4 x^{2} - 47 x - 210 = 0

Faktorisiere

x^{3} + 4 x^{2} - 47 x - 210 : (x + 5) (x + 6) (x - 7)

(x + 5) (x + 6) (x - 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 5 = 0 or x + 6 = 0 or x - 7 = 0

Löse

x + 5 = 0 : x = - 5

Löse

x + 6 = 0 : x = - 6

Löse

x - 7 = 0 : x = 7

Die Lösungen sind

x = - 5, x = - 6, x = 7

Graph

Beliebte Beispiele

x^3(x^2-13)=-36x

x^{3} (x^{2} - 13) = - 36 x

x^{3} - x - 2 = 0

(x)=8x^6+10x^3+4x^2+4

(x) = 8 x^{6} + 10 x^{3} + 4 x^{2} + 4

x^3-23x^2+142x-12=0

x^{3} - 23 x^{2} + 142 x - 12 = 0

(x)=(x^2+7x-8)^2

(x) = (x^{2} + 7 x - 8)^{2}