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Beliebt Algebra >

4x^3-12x^2-x+3=0

Lösung

4 x^{3} - 12 x^{2} - x + 3 = 0

Lösung

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

+1

Dezimale

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

Schritte zur Lösung

4 x^{3} - 12 x^{2} - x + 3 = 0

Faktorisiere

4 x^{3} - 12 x^{2} - x + 3 : (x - 3) (2 x + 1) (2 x - 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 3 = 0 : x = 3

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

0=2x^9-3x^7+11x+10

0 = 2 x^{9} - 3 x^{7} + 11 x + 10

x^{3} - 4 x^{2} + 1 = 0

- 200 = - 7 y^{3} - 4

x^4+4x^3+4x^2=0

x^{4} + 4 x^{3} + 4 x^{2} = 0

x^{5} - 32 = 0