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Beliebt Algebra >

40w^3-3w^2-w=0

Lösung

40 w^{3} - 3 w^{2} - w = 0

Lösung

w = 0, w = - \frac{1}{8}, w = \frac{1}{5}

+1

Dezimale

w = 0, w = - 0.125, w = 0.2

Schritte zur Lösung

40 w^{3} - 3 w^{2} - w = 0

Faktorisiere

40 w^{3} - 3 w^{2} - w : w (8 w + 1) (5 w - 1)

w (8 w + 1) (5 w - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

w = 0 or 8 w + 1 = 0 or 5 w - 1 = 0

Löse

8 w + 1 = 0 : w = - \frac{1}{8}

Löse

5 w - 1 = 0 : w = \frac{1}{5}

Die Lösungen sind

w = 0, w = - \frac{1}{8}, w = \frac{1}{5}

Graph

Beliebte Beispiele

3x^2-1+x^3-1+x^5=1

3 x^{2} - 1 + x^{3} - 1 + x^{5} = 1

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

10(4x^3-15x^2+16x-4)=0

10 (4 x^{3} - 15 x^{2} + 16 x - 4) = 0

k^{3} - 3 k^{2} + k + 2 = 0

5=3x^3+4x^2+6x+5

5 = 3 x^{3} + 4 x^{2} + 6 x + 5