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Beliebt Algebra >

2x^3+3x^2-18x-27=0

Lösung

2 x^{3} + 3 x^{2} - 18 x - 27 = 0

Lösung

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

+1

Dezimale

x = - 1.5, x = - 3, x = 3

Schritte zur Lösung

2 x^{3} + 3 x^{2} - 18 x - 27 = 0

Faktorisiere

2 x^{3} + 3 x^{2} - 18 x - 27 : (2 x + 3) (x + 3) (x - 3)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

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

Graph

Beliebte Beispiele

solvefor x,x^3+9x=0

so l v e f or x, x^{3} + 9 x = 0

solvefor x,x^2(x^3)=y^{10}

so l v e f or x, x^{2} (x^{3}) = y^{10}

x^4+5x^3+13x^2+29x+34=0

x^{4} + 5 x^{3} + 13 x^{2} + 29 x + 34 = 0

x^3-2x^2+3=3x^2+5x-22

x^{3} - 2 x^{2} + 3 = 3 x^{2} + 5 x - 22

x^{6} + x^{5} - 2 x^{4} = 0