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Beliebt Algebra >

x^3+4x^2-2x-8=0

Lösung

x^{3} + 4 x^{2} - 2 x - 8 = 0

Lösung

x = - 4, x = - 2, x = 2

+1

Dezimale

x = - 4, x = - 1.41421 \dots, x = 1.41421 \dots

Schritte zur Lösung

x^{3} + 4 x^{2} - 2 x - 8 = 0

Faktorisiere

x^{3} + 4 x^{2} - 2 x - 8 : (x + 4) (x + 2) (x - 2)

(x + 4) (x + 2) (x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 4 = 0 or x + 2 = 0 or x - 2 = 0

Löse

x + 4 = 0 : x = - 4

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

x = - 4, x = - 2, x = 2

Graph

Beliebte Beispiele

solvefor y,y^3=x^3+4x^4-x^5+2x^2-x+1

so l v e f or y, y^{3} = x^{3} + 4 x^{4} - x^{5} + 2 x^{2} - x + 1

(5 - 2 x)^{3} = - 27

3 x^{4} = 9

x^4-9=2x^4+6x^2

x^{4} - 9 = 2 x^{4} + 6 x^{2}

x^{3} - 14 x^{2} - 49 = 0