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Beliebt Algebra >

4x^3+x^2-36x-9=0

Lösung

4 x^{3} + x^{2} - 36 x - 9 = 0

Lösung

x = - \frac{1}{4}, x = - 3, x = 3

+1

Dezimale

x = - 0.25, x = - 3, x = 3

Schritte zur Lösung

4 x^{3} + x^{2} - 36 x - 9 = 0

Faktorisiere

4 x^{3} + x^{2} - 36 x - 9 : (4 x + 1) (x + 3) (x - 3)

(4 x + 1) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

4 x + 1 = 0 or x + 3 = 0 or x - 3 = 0

Löse

4 x + 1 = 0 : x = - \frac{1}{4}

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = - \frac{1}{4}, x = - 3, x = 3

Graph

Beliebte Beispiele

(x+2)(x-1)(x-3)=-3

(x + 2) (x - 1) (x - 3) = - 3

m^{3} = 2

-x^3+x^2+14x+11=0

- x^{3} + x^{2} + 14 x + 11 = 0

2 x^{2} x - 3 x - 20 = 0

(x-1)^6+(x-2)^6=1

(x - 1)^{6} + (x - 2)^{6} = 1