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Beliebt Algebra >

(x+1)(x+2)^2(x^2-6x+10)=0

Lösung

(x + 1) (x + 2)^{2} (x^{2} - 6 x + 10) = 0

Lösung

x = - 1, x = - 2, x = 3 + i, x = 3 - i

Schritte zur Lösung

(x + 1) (x + 2)^{2} (x^{2} - 6 x + 10) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x + 2 = 0 or x^{2} - 6 x + 10 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x + 2 = 0 : x = - 2

Löse

x^{2} - 6 x + 10 = 0 : x = 3 + i, x = 3 - i

Die Lösungen sind

x = - 1, x = - 2, x = 3 + i, x = 3 - i

Graph

Beliebte Beispiele

s^{3} = 1000

(2 A + 1) A^{66} = 0

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

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

2x^3+x^2-6x-7=2x^2+3x-7

2 x^{3} + x^{2} - 6 x - 7 = 2 x^{2} + 3 x - 7

47.24=2370.903(b^{2008})

47.24 = 2370.903 (b^{2008})