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Beliebt Algebra >

2x^3-5x^2+1=0

Lösung

2 x^{3} - 5 x^{2} + 1 = 0

Lösung

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

+1

Dezimale

x = 0.5, x = 2.41421 \dots, x = - 0.41421 \dots

Schritte zur Lösung

2 x^{3} - 5 x^{2} + 1 = 0

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

(x+2)^4+(x+4)^4=2

(x + 2)^{4} + (x + 4)^{4} = 2

x^5+5x^2+3x-9=0

x^{5} + 5 x^{2} + 3 x - 9 = 0

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

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

z^{4} = (1 - i)^{4}

x(x+2)(x^2-1)=-1

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