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Beliebt Algebra >

(x+1)^3-6(x+1)-4=0

Lösung

(x + 1)^{3} - 6 (x + 1) - 4 = 0

Lösung

x = - 3, x = - 3, x = 3

+1

Dezimale

x = - 3, x = - 1.73205 \dots, x = 1.73205 \dots

Schritte zur Lösung

(x + 1)^{3} - 6 (x + 1) - 4 = 0

Schreibe

(x + 1)^{3} - 6 (x + 1) - 4

um:

x^{3} + 3 x^{2} - 3 x - 9

x^{3} + 3 x^{2} - 3 x - 9 = 0

Faktorisiere

x^{3} + 3 x^{2} - 3 x - 9 : (x + 3) (x + 3) (x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 3 = 0 or x + 3 = 0 or x - 3 = 0

Löse

x + 3 = 0 : x = - 3

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = - 3, x = - 3, x = 3

Graph

Beliebte Beispiele

x^{4} - a x^{2} + b = 0

Z^{56} = 498

solvefor y,x=8y^3

so l v e f or y, x = 8 y^{3}

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

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

- x^{5} + 16 x = 0