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Beliebt Algebra >

-x^3+2x+1=0

Lösung

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

Lösung

x = - 1, x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

+1

Dezimale

x = - 1, x = 1.61803 \dots, x = - 0.61803 \dots

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

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

Die Lösungen sind

x = - 1, x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

Graph

Beliebte Beispiele

x^3+6x^2-13x-78=0

x^{3} + 6 x^{2} - 13 x - 78 = 0

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

x^{4} + 10 x^{2} - 9 = 0

16 x = x^{4}

6x^2+3x^3=-x(2x^3-4)

6 x^{2} + 3 x^{3} = - x (2 x^{3} - 4)