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Beliebt Algebra >

3x^3+8x^2-1=0

Lösung

3 x^{3} + 8 x^{2} - 1 = 0

Lösung

x = \frac{1}{3}, x = \frac{- 3 + 5}{2}, x = \frac{- 3 - 5}{2}

+1

Dezimale

x = 0.33333 \dots, x = - 0.38196 \dots, x = - 2.61803 \dots

Schritte zur Lösung

3 x^{3} + 8 x^{2} - 1 = 0

Faktorisiere

3 x^{3} + 8 x^{2} - 1 : (3 x - 1) (x^{2} + 3 x + 1)

(3 x - 1) (x^{2} + 3 x + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x^{2} + 3 x + 1 = 0 : x = \frac{- 3 + 5}{2}, x = \frac{- 3 - 5}{2}

Die Lösungen sind

x = \frac{1}{3}, x = \frac{- 3 + 5}{2}, x = \frac{- 3 - 5}{2}

Graph

Beliebte Beispiele

(1 - r)^{3} = 3 - 3 r

x^3-5x^2+4x+10=0

x^{3} - 5 x^{2} + 4 x + 10 = 0

x^{6} - 22 x^{3} + 49 = 0

5 x^{3} - 125 x^{5} = 0

(x^2+x)^2=5x^2+5x-6

(x^{2} + x)^{2} = 5 x^{2} + 5 x - 6