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Beliebt Algebra >

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

Lösung

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

Lösung

x = - 1, x = - 1 + 5, x = - 1 - 5

+1

Dezimale

x = - 1, x = 1.23606 \dots, x = - 3.23606 \dots

Schritte zur Lösung

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

Faktorisiere

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

(x + 1) (x^{2} + 2 x - 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

x^{2} + 2 x - 4 = 0 : x = - 1 + 5, x = - 1 - 5

Die Lösungen sind

x = - 1, x = - 1 + 5, x = - 1 - 5

Graph

Beliebte Beispiele

2x^3-3x^2-3x-2=0

2 x^{3} - 3 x^{2} - 3 x - 2 = 0

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

5^2x-3-2(x^5)^2=5^2x^3

5^{2} x - 3 - 2 (x^{5})^{2} = 5^{2} x^{3}

y^{8} = 1

a^{3} = 125