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Beliebt Algebra >

64x^3-112x^2-4x+7=0

Lösung

64 x^{3} - 112 x^{2} - 4 x + 7 = 0

Lösung

x = \frac{7}{4}, x = - \frac{1}{4}, x = \frac{1}{4}

+1

Dezimale

x = 1.75, x = - 0.25, x = 0.25

Schritte zur Lösung

64 x^{3} - 112 x^{2} - 4 x + 7 = 0

Faktorisiere

64 x^{3} - 112 x^{2} - 4 x + 7 : (4 x - 7) (4 x + 1) (4 x - 1)

(4 x - 7) (4 x + 1) (4 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

4 x - 7 = 0 or 4 x + 1 = 0 or 4 x - 1 = 0

Löse

4 x - 7 = 0 : x = \frac{7}{4}

Löse

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

Löse

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

Die Lösungen sind

x = \frac{7}{4}, x = - \frac{1}{4}, x = \frac{1}{4}

Graph

Beliebte Beispiele

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

3 x^{3} - x = 0

-2x(x^2-5)(x^2+100)=0

- 2 x (x^{2} - 5) (x^{2} + 100) = 0

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

5 x^{3} = 9 x^{2}