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Beliebt Algebra >

-x(x^2-49)(x^2-11)=0

Lösung

- x (x^{2} - 49) (x^{2} - 11) = 0

Lösung

x = 0, x = - 7, x = 7, x = - 11, x = 11

+1

Dezimale

x = 0, x = - 7, x = 7, x = - 3.31662 \dots, x = 3.31662 \dots

Schritte zur Lösung

- x (x^{2} - 49) (x^{2} - 11) = 0

Faktorisiere

- x (x^{2} - 49) (x^{2} - 11) : - x (x + 7) (x - 7) (x + 11) (x - 11)

- x (x + 7) (x - 7) (x + 11) (x - 11) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x + 7 = 0 or x - 7 = 0 or x + 11 = 0 or x - 11 = 0

Löse

x + 7 = 0 : x = - 7

Löse

x - 7 = 0 : x = 7

Löse

x + 11 = 0 : x = - 11

Löse

x - 11 = 0 : x = 11

Die Lösungen sind

x = 0, x = - 7, x = 7, x = - 11, x = 11

Graph

Beliebte Beispiele

z^{3} = - 2 + 2 i

x^{4} + 9 x^{2} + 20 = 0

0=x^3-10x^2+31x-30

0 = x^{3} - 10 x^{2} + 31 x - 30

2x^3+25=x^2+50x

2 x^{3} + 25 = x^{2} + 50 x

2 x^{3} - 3 x^{2} = 6 x - 9