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Beliebt Algebra >

x^4+13x^3+42x^2=0

Lösung

x^{4} + 13 x^{3} + 42 x^{2} = 0

Lösung

x = 0, x = - 6, x = - 7

Schritte zur Lösung

x^{4} + 13 x^{3} + 42 x^{2} = 0

Faktorisiere

x^{4} + 13 x^{3} + 42 x^{2} : x^{2} (x + 6) (x + 7)

x^{2} (x + 6) (x + 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x + 6 = 0 or x + 7 = 0

Löse

x + 6 = 0 : x = - 6

Löse

x + 7 = 0 : x = - 7

Die Lösungen sind

x = 0, x = - 6, x = - 7

Graph

Beliebte Beispiele

x^3+7x^2-5x-35=0

x^{3} + 7 x^{2} - 5 x - 35 = 0

solvefor x,y^2=Cx^3+1

so l v e f or x, y^{2} = C x^{3} + 1

h^{4} + 9 = 10 h^{2}

-3(36x^2-25)(x^2+1)=0

- 3 (36 x^{2} - 25) (x^{2} + 1) = 0

-2(x+8)(25x^2-49)=0

- 2 (x + 8) (25 x^{2} - 49) = 0