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Beliebt Algebra >

x^3+6x^2+5x-12=0

Lösung

x^{3} + 6 x^{2} + 5 x - 12 = 0

Lösung

x = 1, x = - 3, x = - 4

Schritte zur Lösung

x^{3} + 6 x^{2} + 5 x - 12 = 0

Faktorisiere

x^{3} + 6 x^{2} + 5 x - 12 : (x - 1) (x + 3) (x + 4)

(x - 1) (x + 3) (x + 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or x + 3 = 0 or x + 4 = 0

Löse

x - 1 = 0 : x = 1

Löse

x + 3 = 0 : x = - 3

Löse

x + 4 = 0 : x = - 4

Die Lösungen sind

x = 1, x = - 3, x = - 4

Graph

Beliebte Beispiele

4 x^{6} 6 x^{3} = 7 x^{3}

9 z^{4} - 3 z^{2} + 1 = 0

x^4+27x^2-324=0

x^{4} + 27 x^{2} - 324 = 0

x^4-2x^3+4x-1=0

x^{4} - 2 x^{3} + 4 x - 1 = 0

solvefor x,(x)8x^2+4y^2=12

so l v e f or x, (x) 8 x^{2} + 4 y^{2} = 12