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Beliebt Algebra >

x^4-7x^3+13x^2+3x-18=0

Lösung

x^{4} - 7 x^{3} + 13 x^{2} + 3 x - 18 = 0

Lösung

x = - 1, x = 2, x = 3

Schritte zur Lösung

x^{4} - 7 x^{3} + 13 x^{2} + 3 x - 18 = 0

Faktorisiere

x^{4} - 7 x^{3} + 13 x^{2} + 3 x - 18 : (x + 1) (x - 2) (x - 3)^{2}

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x - 2 = 0 or x - 3 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x - 2 = 0 : x = 2

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = - 1, x = 2, x = 3

Graph

Beliebte Beispiele

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

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

c^{3} - c = 0

3 x^{3} + 2 x^{3} = 5 x^{6}

4 x^{4} - 12 x^{2} + 5 = 0

(x+1)(x-2)(x-3)=0

(x + 1) (x - 2) (x - 3) = 0