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Beliebt Algebra >

5x^3-3x^2+10x-6=0

Lösung

5 x^{3} - 3 x^{2} + 10 x - 6 = 0

Lösung

x = \frac{3}{5}, x = 2 i, x = - 2 i

Schritte zur Lösung

5 x^{3} - 3 x^{2} + 10 x - 6 = 0

Faktorisiere

5 x^{3} - 3 x^{2} + 10 x - 6 : (5 x - 3) (x^{2} + 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

5 x - 3 = 0 : x = \frac{3}{5}

Löse

x^{2} + 2 = 0 : x = 2 i, x = - 2 i

Die Lösungen sind

x = \frac{3}{5}, x = 2 i, x = - 2 i

Graph

Beliebte Beispiele

x^3-12x^2+36x+44=0

x^{3} - 12 x^{2} + 36 x + 44 = 0

-2(5x+6)(x^2-64)=0

- 2 (5 x + 6) (x^{2} - 64) = 0

x^{4} + 3 = 0

(2^{24})^{1/2}=p^4

(2^{24})^{\frac{1}{2}} = p^{4}

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