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Beliebt Algebra >

-3x^3-7x^2-12x-28=0

Lösung

- 3 x^{3} - 7 x^{2} - 12 x - 28 = 0

Lösung

x = - \frac{7}{3}, x = 2 i, x = - 2 i

Schritte zur Lösung

- 3 x^{3} - 7 x^{2} - 12 x - 28 = 0

Faktorisiere

- 3 x^{3} - 7 x^{2} - 12 x - 28 : - (3 x + 7) (x^{2} + 4)

- (3 x + 7) (x^{2} + 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

3 x + 7 = 0 or x^{2} + 4 = 0

Löse

3 x + 7 = 0 : x = - \frac{7}{3}

Löse

x^{2} + 4 = 0 : x = 2 i, x = - 2 i

Die Lösungen sind

x = - \frac{7}{3}, x = 2 i, x = - 2 i

Graph

Beliebte Beispiele

4 x^{3} + 8 x^{2} + x = 3

-2x^3+2x^2-8x+7=0

- 2 x^{3} + 2 x^{2} - 8 x + 7 = 0

2x^3+3x^2-8x-3=0

2 x^{3} + 3 x^{2} - 8 x - 3 = 0

solvefor x,9y=x^3

so l v e f or x, 9 y = x^{3}

3(x^2-81)(64x^2-25)=0

3 (x^{2} - 81) (64 x^{2} - 25) = 0