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Beliebt Algebra >

6x^4+7x^3-15x^2+7x-1=0

Lösung

6 x^{4} + 7 x^{3} - 15 x^{2} + 7 x - 1 = 0

Lösung

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

+1

Dezimale

x = 0.5, x = 0.33333 \dots, x = 0.41421 \dots, x = - 2.41421 \dots

Schritte zur Lösung

6 x^{4} + 7 x^{3} - 15 x^{2} + 7 x - 1 = 0

Faktorisiere

6 x^{4} + 7 x^{3} - 15 x^{2} + 7 x - 1 : (2 x - 1) (3 x - 1) (x^{2} + 2 x - 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Löse

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

Löse

x^{2} + 2 x - 1 = 0 : x = - 1 + 2, x = - 1 - 2

Die Lösungen sind

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

Graph

Beliebte Beispiele

-x^3+6x^2-x-22=0

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