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Beliebt Algebra >

2x(x^2-3)(x^2+49)=0

Lösung

2 x (x^{2} - 3) (x^{2} + 49) = 0

Lösung

x = 0, x = 7 i, x = - 7 i, x = - 3, x = 3

Schritte zur Lösung

2 x (x^{2} - 3) (x^{2} + 49) = 0

Faktorisiere

2 x (x^{2} - 3) (x^{2} + 49) : 2 x (x^{2} + 49) (x + 3) (x - 3)

2 x (x^{2} + 49) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} + 49 = 0 or x + 3 = 0 or x - 3 = 0

Löse

x^{2} + 49 = 0 : x = 7 i, x = - 7 i

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = 0, x = 7 i, x = - 7 i, x = - 3, x = 3

Graph

Beliebte Beispiele

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

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

(x^4-5x^2)/2 =-2

\frac{x ^{4} - 5 x ^{2}}{2} = - 2

xxx-9.26xx=31.8

xxx - 9.26 xx = 31.8

-2x^6+7x^3-3x=0

- 2 x^{6} + 7 x^{3} - 3 x = 0

solvefor r,x= 2/3 pir^3

so l v e f or r, x = \frac{2}{3} π r^{3}