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Beliebt Algebra >

4x^3+7x^2-12x-21=0

Lösung

4 x^{3} + 7 x^{2} - 12 x - 21 = 0

Lösung

x = - \frac{7}{4}, x = - 3, x = 3

+1

Dezimale

x = - 1.75, x = - 1.73205 \dots, x = 1.73205 \dots

Schritte zur Lösung

4 x^{3} + 7 x^{2} - 12 x - 21 = 0

Faktorisiere

4 x^{3} + 7 x^{2} - 12 x - 21 : (4 x + 7) (x + 3) (x - 3)

(4 x + 7) (x + 3) (x - 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

4 x + 7 = 0 or x + 3 = 0 or x - 3 = 0

Löse

4 x + 7 = 0 : x = - \frac{7}{4}

Löse

x + 3 = 0 : x = - 3

Löse

x - 3 = 0 : x = 3

Die Lösungen sind

x = - \frac{7}{4}, x = - 3, x = 3

Graph

Beliebte Beispiele

x^4-5x^2+6x-4=0

x^{4} - 5 x^{2} + 6 x - 4 = 0

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

0=10x^3+19x^2-5x-6

0 = 10 x^{3} + 19 x^{2} - 5 x - 6

t^{3} - 2 = 2

178 = - 6 + 4 m^{3}