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Beliebt Algebra >

6x^4-x^3-22x^2+11x+6=0

Lösung

6 x^{4} - x^{3} - 22 x^{2} + 11 x + 6 = 0

Lösung

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

+1

Dezimale

x = 1, x = - 2, x = - 0.33333 \dots, x = 1.5

Schritte zur Lösung

6 x^{4} - x^{3} - 22 x^{2} + 11 x + 6 = 0

Faktorisiere

6 x^{4} - x^{3} - 22 x^{2} + 11 x + 6 : (x - 1) (x + 2) (3 x + 1) (2 x - 3)

(x - 1) (x + 2) (3 x + 1) (2 x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 1 = 0 or x + 2 = 0 or 3 x + 1 = 0 or 2 x - 3 = 0

Löse

x - 1 = 0 : x = 1

Löse

x + 2 = 0 : x = - 2

Löse

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

Löse

2 x - 3 = 0 : x = \frac{3}{2}

Die Lösungen sind

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

Graph

Beliebte Beispiele

solvefor y,x^3+y^3=x

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

-2x^3-9x^2-12x-4=0

- 2 x^{3} - 9 x^{2} - 12 x - 4 = 0

x^{3} + 2 x = 3

x^{3} + 2 x = 8

x^3-3459x^2-4133=0

x^{3} - 3459 x^{2} - 4133 = 0