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Beliebt Algebra >

6x^3-5x^2+7x-2=0

Lösung

6 x^{3} - 5 x^{2} + 7 x - 2 = 0

Lösung

x = \frac{1}{3}, x = \frac{1}{4} + i \frac{15}{4}, x = \frac{1}{4} - i \frac{15}{4}

Schritte zur Lösung

6 x^{3} - 5 x^{2} + 7 x - 2 = 0

Faktorisiere

6 x^{3} - 5 x^{2} + 7 x - 2 : (3 x - 1) (2 x^{2} - x + 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

2 x^{2} - x + 2 = 0 : x = \frac{1}{4} + i \frac{15}{4}, x = \frac{1}{4} - i \frac{15}{4}

Die Lösungen sind

x = \frac{1}{3}, x = \frac{1}{4} + i \frac{15}{4}, x = \frac{1}{4} - i \frac{15}{4}

Graph

Beliebte Beispiele

4x^4+21x^2-18=0

4 x^{4} + 21 x^{2} - 18 = 0

x^{8} = 1

x^3-2x^2+4x-8=0

x^{3} - 2 x^{2} + 4 x - 8 = 0

3x^3-19x^2-14x=0

3 x^{3} - 19 x^{2} - 14 x = 0

x^{3} + 4 x^{2} + 4 x = 0