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Beliebt Algebra >

16x^3-32x^2-x+2=0

Lösung

16 x^{3} - 32 x^{2} - x + 2 = 0

Lösung

x = 2, x = - \frac{1}{4}, x = \frac{1}{4}

+1

Dezimale

x = 2, x = - 0.25, x = 0.25

Schritte zur Lösung

16 x^{3} - 32 x^{2} - x + 2 = 0

Faktorisiere

16 x^{3} - 32 x^{2} - x + 2 : (x - 2) (4 x + 1) (4 x - 1)

(x - 2) (4 x + 1) (4 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 2 = 0 or 4 x + 1 = 0 or 4 x - 1 = 0

Löse

x - 2 = 0 : x = 2

Löse

4 x + 1 = 0 : x = - \frac{1}{4}

Löse

4 x - 1 = 0 : x = \frac{1}{4}

Die Lösungen sind

x = 2, x = - \frac{1}{4}, x = \frac{1}{4}

Graph

Beliebte Beispiele

a^3+(6-a)^2-36=0

a^{3} + (6 - a)^{2} - 36 = 0

- x^{3} + 6 x = 0

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

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

36 x^{3} - x = 0