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Beliebt Algebra >

16x^3+64x^2-x-4=0

Lösung

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

Lösung

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

+1

Dezimale

x = - 4, x = - 0.25, x = 0.25

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 4 = 0 : x = - 4

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

6x^4-x^3+5x^2-x-1=0

6 x^{4} - x^{3} + 5 x^{2} - x - 1 = 0

solvefor y,x=y^3+1

so l v e f or y, x = y^{3} + 1

2 x^{4} - 3 x^{2} - 20 = 0

x^{8} - 8 = 0

x^{4} - 3 x^{2} = - 2