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Beliebt Algebra >

d^3+3d^2+3d+2=0

Lösung

d^{3} + 3 d^{2} + 3 d + 2 = 0

Lösung

d = - 2, d = - \frac{1}{2} + i \frac{3}{2}, d = - \frac{1}{2} - i \frac{3}{2}

Schritte zur Lösung

d^{3} + 3 d^{2} + 3 d + 2 = 0

Faktorisiere

d^{3} + 3 d^{2} + 3 d + 2 : (d + 2) (d^{2} + d + 1)

(d + 2) (d^{2} + d + 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

d + 2 = 0 or d^{2} + d + 1 = 0

Löse

d + 2 = 0 : d = - 2

Löse

d^{2} + d + 1 = 0 : d = - \frac{1}{2} + i \frac{3}{2}, d = - \frac{1}{2} - i \frac{3}{2}

Die Lösungen sind

d = - 2, d = - \frac{1}{2} + i \frac{3}{2}, d = - \frac{1}{2} - i \frac{3}{2}

Graph

Beliebte Beispiele

3x^3+2x^2+x+1=0

3 x^{3} + 2 x^{2} + x + 1 = 0

solvefor x,x^4-y^4=581

so l v e f or x, x^{4} - y^{4} = 581

3 + x^{3} = 3

x^{4} + 3 x = 1

(t+3)^4+(t-3)^4=272

(t + 3)^{4} + (t - 3)^{4} = 272