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Beliebt Algebra >

16x^3-32x^2-4x+8=0

Lösung

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

Lösung

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

+1

Dezimale

x = 2, x = - 0.5, x = 0.5

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 2 = 0 : x = 2

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

-λ^3+4λ^2-3λ=0

- λ^{3} + 4 λ^{2} - 3 λ = 0

x(x-5)(x-7)=x(7-x)

x (x - 5) (x - 7) = x (7 - x)

x^3-5x^2-25x=-125

x^{3} - 5 x^{2} - 25 x = - 125

x^{3} - 3 x + 8 = - 3 x

0 = x^{3} - 27