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Beliebt Algebra >

24x^3-2x^2-5x+1=0

Lösung

24 x^{3} - 2 x^{2} - 5 x + 1 = 0

Lösung

x = - \frac{1}{2}, x = \frac{1}{4}, x = \frac{1}{3}

+1

Dezimale

x = - 0.5, x = 0.25, x = 0.33333 \dots

Schritte zur Lösung

24 x^{3} - 2 x^{2} - 5 x + 1 = 0

Faktorisiere

24 x^{3} - 2 x^{2} - 5 x + 1 : (2 x + 1) (4 x - 1) (3 x - 1)

(2 x + 1) (4 x - 1) (3 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x + 1 = 0 or 4 x - 1 = 0 or 3 x - 1 = 0

Löse

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

Löse

4 x - 1 = 0 : x = \frac{1}{4}

Löse

3 x - 1 = 0 : x = \frac{1}{3}

Die Lösungen sind

x = - \frac{1}{2}, x = \frac{1}{4}, x = \frac{1}{3}

Graph

Beliebte Beispiele

16 x^{4} = 81

2 a^{3} - 3 a^{2} + 1 = 0

x^{5} + x^{3} + x - 3 = 0

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

2x^4-5x^2+36=x^4+8x^2

2 x^{4} - 5 x^{2} + 36 = x^{4} + 8 x^{2}