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Beliebt Algebra >

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

Lösung

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

Lösung

x = \frac{3}{2}, x = - 1, x = 1

+1

Dezimale

x = 1.5, x = - 1, x = 1

Schritte zur Lösung

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

Faktorisiere

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

(2 x - 3) (x + 1) (x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x - 3 = 0 or x + 1 = 0 or x - 1 = 0

Löse

2 x - 3 = 0 : x = \frac{3}{2}

Löse

x + 1 = 0 : x = - 1

Löse

x - 1 = 0 : x = 1

Die Lösungen sind

x = \frac{3}{2}, x = - 1, x = 1

Graph

Beliebte Beispiele

\frac{1}{3} x^{4} = 27

r^{4} + 4 = 0

3 x^{5} - 24 x^{2} = 0

a^{3} = 6 a^{2}

solvefor x,t(x)=x^5

so l v e f or x, t (x) = x^{5}