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Beliebt Algebra >

x^4-3x^3-x^2+9x-6=0

Lösung

x^{4} - 3 x^{3} - x^{2} + 9 x - 6 = 0

Lösung

x = 1, x = 2, x = - 3, x = 3

+1

Dezimale

x = 1, x = 2, x = - 1.73205 \dots, x = 1.73205 \dots

Schritte zur Lösung

x^{4} - 3 x^{3} - x^{2} + 9 x - 6 = 0

Faktorisiere

x^{4} - 3 x^{3} - x^{2} + 9 x - 6 : (x - 1) (x - 2) (x + 3) (x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

x - 2 = 0 : x = 2

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = 1, x = 2, x = - 3, x = 3

Graph

Beliebte Beispiele

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

2x^3-x^3-5x-2=0

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

- 8 m^{5} + 24 = 0

((1+r)/(100))^{10}=1.5775

(\frac{1 + r}{100})^{10} = 1.5775

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

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