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Beliebt Algebra >

x^3-3x-18=0

Lösung

x^{3} - 3 x - 18 = 0

Lösung

x = 3, x = - \frac{3}{2} + i \frac{15}{2}, x = - \frac{3}{2} - i \frac{15}{2}

Schritte zur Lösung

x^{3} - 3 x - 18 = 0

Faktorisiere

x^{3} - 3 x - 18 : (x - 3) (x^{2} + 3 x + 6)

(x - 3) (x^{2} + 3 x + 6) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 3 = 0 : x = 3

Löse

x^{2} + 3 x + 6 = 0 : x = - \frac{3}{2} + i \frac{15}{2}, x = - \frac{3}{2} - i \frac{15}{2}

Die Lösungen sind

x = 3, x = - \frac{3}{2} + i \frac{15}{2}, x = - \frac{3}{2} - i \frac{15}{2}

Graph

Beliebte Beispiele

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

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

solvefor y,x=y^5-2

so l v e f or y, x = y^{5} - 2

solvefor x,x=x^3-2x+5+x

so l v e f or x, x = x^{3} - 2 x + 5 + x

24 x^{4} - 2 x^{2} - 1 = 0

x^3+x^2-16x+20=0

x^{3} + x^{2} - 16 x + 20 = 0