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Beliebt Algebra >

x^3+2x^2-36x-72=0

Lösung

x^{3} + 2 x^{2} - 36 x - 72 = 0

Lösung

x = - 2, x = - 6, x = 6

Schritte zur Lösung

x^{3} + 2 x^{2} - 36 x - 72 = 0

Faktorisiere

x^{3} + 2 x^{2} - 36 x - 72 : (x + 2) (x + 6) (x - 6)

(x + 2) (x + 6) (x - 6) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 2 = 0 or x + 6 = 0 or x - 6 = 0

Löse

x + 2 = 0 : x = - 2

Löse

x + 6 = 0 : x = - 6

Löse

x - 6 = 0 : x = 6

Die Lösungen sind

x = - 2, x = - 6, x = 6

Graph

Beliebte Beispiele

x (x - 2) (x + 2) = 0

13e^9e+4=-5e+14+13e^9

13 e^{9} e + 4 = - 5 e + 14 + 13 e^{9}

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

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

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

9y^4+65y^2-144=0

9 y^{4} + 65 y^{2} - 144 = 0