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Beliebt Algebra >

-x^3+x^2+6x+4=0

Lösung

- x^{3} + x^{2} + 6 x + 4 = 0

Lösung

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

+1

Dezimale

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

Schritte zur Lösung

- x^{3} + x^{2} + 6 x + 4 = 0

Faktorisiere

- x^{3} + x^{2} + 6 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^3-5x^2+50x-125=0

2 x^{3} - 5 x^{2} + 50 x - 125 = 0

-14x^3+21x^2-3=0

- 14 x^{3} + 21 x^{2} - 3 = 0

x^{5} = 5 x - 4 x^{3}

2x(7x+1)(9x^2-25)=0

2 x (7 x + 1) (9 x^{2} - 25) = 0

6 x^{4} - 14 x^{2} = 0