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Beliebt Algebra >

2x(x^3-216)=0

Lösung

2 x (x^{3} - 216) = 0

Lösung

x = 0, x = 6, x = - 3 + 33 i, x = - 3 - 33 i

Schritte zur Lösung

2 x (x^{3} - 216) = 0

Faktorisiere

2 x (x^{3} - 216) : 2 x (x - 6) (x^{2} + 6 x + 36)

2 x (x - 6) (x^{2} + 6 x + 36) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x - 6 = 0 or x^{2} + 6 x + 36 = 0

Löse

x - 6 = 0 : x = 6

Löse

x^{2} + 6 x + 36 = 0 : x = - 3 + 33 i, x = - 3 - 33 i

Die Lösungen sind

x = 0, x = 6, x = - 3 + 33 i, x = - 3 - 33 i

Graph

Beliebte Beispiele

x^4+2x^3-14x^2+2x+1=0

x^{4} + 2 x^{3} - 14 x^{2} + 2 x + 1 = 0

solvefor x,x^4+y^4=2

so l v e f or x, x^{4} + y^{4} = 2

125000(x)^6=165000

125000 (x)^{6} = 165000

x^4+x^3+4x^2+x+3=0

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

x (x^{2} + 3) = 8