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Beliebt Algebra >

-5x^3+11x^2-4x-2=0

Lösung

- 5 x^{3} + 11 x^{2} - 4 x - 2 = 0

Lösung

x = 1, x = \frac{3 + 19}{5}, x = \frac{3 - 19}{5}

+1

Dezimale

x = 1, x = 1.47177 \dots, x = - 0.27177 \dots

Schritte zur Lösung

- 5 x^{3} + 11 x^{2} - 4 x - 2 = 0

Faktorisiere

- 5 x^{3} + 11 x^{2} - 4 x - 2 : - (x - 1) (5 x^{2} - 6 x - 2)

- (x - 1) (5 x^{2} - 6 x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or 5 x^{2} - 6 x - 2 = 0

Löse

x - 1 = 0 : x = 1

Löse

5 x^{2} - 6 x - 2 = 0 : x = \frac{3 + 19}{5}, x = \frac{3 - 19}{5}

Die Lösungen sind

x = 1, x = \frac{3 + 19}{5}, x = \frac{3 - 19}{5}

Graph

Beliebte Beispiele

solvefor x,x^3-3x^3y=0

so l v e f or x, x^{3} - 3 x^{3} y = 0

x^3+x^2-13x-21=0

x^{3} + x^{2} - 13 x - 21 = 0

35 x^{4} = x^{4}

x^{4} = 6 x^{2} - 5

x^{4} = 2