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Beliebt Algebra >

-16x^3-16x^2+60x=0

Lösung

- 16 x^{3} - 16 x^{2} + 60 x = 0

Lösung

x = 0, x = \frac{3}{2}, x = - \frac{5}{2}

+1

Dezimale

x = 0, x = 1.5, x = - 2.5

Schritte zur Lösung

- 16 x^{3} - 16 x^{2} + 60 x = 0

Faktorisiere

- 16 x^{3} - 16 x^{2} + 60 x : - 4 x (2 x - 3) (2 x + 5)

- 4 x (2 x - 3) (2 x + 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 2 x - 3 = 0 or 2 x + 5 = 0

Löse

2 x - 3 = 0 : x = \frac{3}{2}

Löse

2 x + 5 = 0 : x = - \frac{5}{2}

Die Lösungen sind

x = 0, x = \frac{3}{2}, x = - \frac{5}{2}

Graph

Beliebte Beispiele

solvefor y,x=y^3-2

so l v e f or y, x = y^{3} - 2

12 = 305 \cdot x^{3}

solvefor x,x^3-2x^2-9x=18

so l v e f or x, x^{3} - 2 x^{2} - 9 x = 18

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

x^{3} + 3 x^{2} + 18 x = 0