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Beliebt Algebra >

4x^3+23x^2-2x=0

Lösung

4 x^{3} + 23 x^{2} - 2 x = 0

Lösung

x = 0, x = \frac{- 23 + 561}{8}, x = \frac{- 23 - 561}{8}

+1

Dezimale

x = 0, x = 0.08567 \dots, x = - 5.83567 \dots

Schritte zur Lösung

4 x^{3} + 23 x^{2} - 2 x = 0

Faktorisiere

4 x^{3} + 23 x^{2} - 2 x : x (4 x^{2} + 23 x - 2)

x (4 x^{2} + 23 x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 4 x^{2} + 23 x - 2 = 0

Löse

4 x^{2} + 23 x - 2 = 0 : x = \frac{- 23 + 561}{8}, x = \frac{- 23 - 561}{8}

Die Lösungen sind

x = 0, x = \frac{- 23 + 561}{8}, x = \frac{- 23 - 561}{8}

Graph

Beliebte Beispiele

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

4x^4-33x^2+50=0

4 x^{4} - 33 x^{2} + 50 = 0

a^{4} - a^{2} = 2

2 x^{3} - 31 = 0

(2 x^{2} - 1)^{2} = 36