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Beliebt Algebra >

7x^3+12x^2-11x+2=0

Lösung

7 x^{3} + 12 x^{2} - 11 x + 2 = 0

Lösung

x = \frac{2}{7}, x = - 1 + 2, x = - 1 - 2

+1

Dezimale

x = 0.28571 \dots, x = 0.41421 \dots, x = - 2.41421 \dots

Schritte zur Lösung

7 x^{3} + 12 x^{2} - 11 x + 2 = 0

Faktorisiere

7 x^{3} + 12 x^{2} - 11 x + 2 : (7 x - 2) (x^{2} + 2 x - 1)

(7 x - 2) (x^{2} + 2 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

7 x - 2 = 0 or x^{2} + 2 x - 1 = 0

Löse

7 x - 2 = 0 : x = \frac{2}{7}

Löse

x^{2} + 2 x - 1 = 0 : x = - 1 + 2, x = - 1 - 2

Die Lösungen sind

x = \frac{2}{7}, x = - 1 + 2, x = - 1 - 2

Graph

Beliebte Beispiele

x^4-2x^3-4x^2+5x-6=0

x^{4} - 2 x^{3} - 4 x^{2} + 5 x - 6 = 0

18 x^{2} - 9 x^{4} = 0

0 = 2 x^{4} + 6 x^{2} + 8

y (2 - y) (4 - y) = 0

x^{3} - 10 = 7