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Beliebt Algebra >

x^3-3x^2-2x-8=0

Lösung

x^{3} - 3 x^{2} - 2 x - 8 = 0

Lösung

x = 4, x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

Schritte zur Lösung

x^{3} - 3 x^{2} - 2 x - 8 = 0

Faktorisiere

x^{3} - 3 x^{2} - 2 x - 8 : (x - 4) (x^{2} + x + 2)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 4 = 0 or x^{2} + x + 2 = 0

Löse

x - 4 = 0 : x = 4

Löse

x^{2} + x + 2 = 0 : x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

Die Lösungen sind

x = 4, x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

Graph

Beliebte Beispiele

10=0.2x^3+0.1x^5

10 = 0.2 x^{3} + 0.1 x^{5}

(2 - x)^{3} = 0

z^{2} - 6 z + 9 - z^{3} = 0

d^{4} = 4

solvefor x,(y+1)^3=x^3-2

so l v e f or x, (y + 1)^{3} = x^{3} - 2