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Beliebt Algebra >

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

Lösung

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

Lösung

x = 3, x = 2 + 5, x = 2 - 5

+1

Dezimale

x = 3, x = 4.23606 \dots, x = - 0.23606 \dots

Schritte zur Lösung

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

Faktorisiere

x^{3} - 7 x^{2} + 11 x + 3 : (x - 3) (x^{2} - 4 x - 1)

(x - 3) (x^{2} - 4 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 3 = 0 : x = 3

Löse

x^{2} - 4 x - 1 = 0 : x = 2 + 5, x = 2 - 5

Die Lösungen sind

x = 3, x = 2 + 5, x = 2 - 5

Graph

Beliebte Beispiele

x^3+5x^2+2x-8=0

x^{3} + 5 x^{2} + 2 x - 8 = 0

x^{6} = 0

x^{3} + 7 x^{2} - 36 = 0

a + 8 = 9 x^{3} - 10

120x+8x^2-2x^3=0

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