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Beliebt Algebra >

x^3+x^2-5x=0

Lösung

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

Lösung

x = 0, x = \frac{- 1 + 21}{2}, x = \frac{- 1 - 21}{2}

+1

Dezimale

x = 0, x = 1.79128 \dots, x = - 2.79128 \dots

Schritte zur Lösung

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

Faktorisiere

x^{3} + x^{2} - 5 x : x (x^{2} + x - 5)

x (x^{2} + x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x^{2} + x - 5 = 0 : x = \frac{- 1 + 21}{2}, x = \frac{- 1 - 21}{2}

Die Lösungen sind

x = 0, x = \frac{- 1 + 21}{2}, x = \frac{- 1 - 21}{2}

Graph

Beliebte Beispiele

2x(x^2-100)(9x^2-25)=0

2 x (x^{2} - 100) (9 x^{2} - 25) = 0

x^3-2x^2+x-2=x^2+1

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

12 x^{4} - x^{2} - 1 = 0

x^{4} - 7 x^{2} - 144 = 0

125 x = 5 x^{3}