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Beliebt Algebra >

-32x^2+4x^3-x+8=0

Lösung

- 32 x^{2} + 4 x^{3} - x + 8 = 0

Lösung

x = 8, x = - \frac{1}{2}, x = \frac{1}{2}

+1

Dezimale

x = 8, x = - 0.5, x = 0.5

Schritte zur Lösung

- 32 x^{2} + 4 x^{3} - x + 8 = 0

Schreibe in der Standard Form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

4 x^{3} - 32 x^{2} - x + 8 = 0

Faktorisiere

4 x^{3} - 32 x^{2} - x + 8 : (x - 8) (2 x + 1) (2 x - 1)

(x - 8) (2 x + 1) (2 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 8 = 0 or 2 x + 1 = 0 or 2 x - 1 = 0

Löse

x - 8 = 0 : x = 8

Löse

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

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Die Lösungen sind

x = 8, x = - \frac{1}{2}, x = \frac{1}{2}

Graph

Beliebte Beispiele

- (x - 1)^{3} = 8

- (x - 1)^{3} = 0

(p^{8})^{2} = p^{10}

50=4x^3-44x^2+120x

50 = 4 x^{3} - 44 x^{2} + 120 x

2 x^{3} + 6 x = 1