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Beliebt Algebra >

x^3-12x^2-56x+552=0

Lösung

x^{3} - 12 x^{2} - 56 x + 552 = 0

Lösung

x = 6, x = 3 + 101, x = 3 - 101

+1

Dezimale

x = 6, x = 13.04987 \dots, x = - 7.04987 \dots

Schritte zur Lösung

x^{3} - 12 x^{2} - 56 x + 552 = 0

Faktorisiere

x^{3} - 12 x^{2} - 56 x + 552 : (x - 6) (x^{2} - 6 x - 92)

(x - 6) (x^{2} - 6 x - 92) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 6 = 0 or x^{2} - 6 x - 92 = 0

Löse

x - 6 = 0 : x = 6

Löse

x^{2} - 6 x - 92 = 0 : x = 3 + 101, x = 3 - 101

Die Lösungen sind

x = 6, x = 3 + 101, x = 3 - 101

Graph

Beliebte Beispiele

11 x^{10} = 15 x - 9

x^3-2x^2-4x-7=0

x^{3} - 2 x^{2} - 4 x - 7 = 0

x^3-x^2-4x+7=x^2-3x+5

x^{3} - x^{2} - 4 x + 7 = x^{2} - 3 x + 5

x + x^{3} = 2210

t^{3} - 6 t^{2} = 2 t