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Beliebt Algebra >

2x^3+x^2-18x-9=0

Lösung

2 x^{3} + x^{2} - 18 x - 9 = 0

Lösung

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

+1

Dezimale

x = - 0.5, x = - 3, x = 3

Schritte zur Lösung

2 x^{3} + x^{2} - 18 x - 9 = 0

Faktorisiere

2 x^{3} + x^{2} - 18 x - 9 : (2 x + 1) (x + 3) (x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

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

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

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

z^{4} = 121

solvefor x,x^5=a^3

so l v e f or x, x^{5} = a^{3}

x^3-6x^2+12x-6=0

x^{3} - 6 x^{2} + 12 x - 6 = 0