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Beliebt Algebra >

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

Lösung

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

Lösung

x = - 1, x = 3 + 3, x = 3 - 3

+1

Dezimale

x = - 1, x = 4.73205 \dots, x = 1.26794 \dots

Schritte zur Lösung

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

Faktorisiere

x^{3} - 5 x^{2} + 6 : (x + 1) (x^{2} - 6 x + 6)

(x + 1) (x^{2} - 6 x + 6) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 1 = 0 or x^{2} - 6 x + 6 = 0

Löse

x + 1 = 0 : x = - 1

Löse

x^{2} - 6 x + 6 = 0 : x = 3 + 3, x = 3 - 3

Die Lösungen sind

x = - 1, x = 3 + 3, x = 3 - 3

Graph

Beliebte Beispiele

\frac{x - 3}{2} = - 2 x^{3}

9262 + x^{3} = 1

(2x-7)(x^3-3)(2x+5)=91

(2 x - 7) (x^{3} - 3) (2 x + 5) = 91

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

x^9-x^5+x^4-1=0

x^{9} - x^{5} + x^{4} - 1 = 0