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Beliebt Algebra >

-4x^3+16x^2-9x-9=0

Lösung

- 4 x^{3} + 16 x^{2} - 9 x - 9 = 0

Lösung

x = 3, x = - \frac{1}{2}, x = \frac{3}{2}

+1

Dezimale

x = 3, x = - 0.5, x = 1.5

Schritte zur Lösung

- 4 x^{3} + 16 x^{2} - 9 x - 9 = 0

Faktorisiere

- 4 x^{3} + 16 x^{2} - 9 x - 9 : - (x - 3) (2 x + 1) (2 x - 3)

- (x - 3) (2 x + 1) (2 x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 3 = 0 or 2 x + 1 = 0 or 2 x - 3 = 0

Löse

x - 3 = 0 : x = 3

Löse

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

Löse

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

Die Lösungen sind

x = 3, x = - \frac{1}{2}, x = \frac{3}{2}

Graph

Beliebte Beispiele

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

(x + 1)^{2} (x - 1) = 0

-4h-5h^2+h^3-4=0

- 4 h - 5 h^{2} + h^{3} - 4 = 0

3 - (x - 1)^{4} = 0

8 = x^{4} - 2 x^{2}