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Beliebt Algebra >

2x^3+x-3=0

Lösung

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

Lösung

x = 1, x = - \frac{1}{2} + i \frac{5}{2}, x = - \frac{1}{2} - i \frac{5}{2}

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 1 = 0 : x = 1

Löse

2 x^{2} + 2 x + 3 = 0 : x = - \frac{1}{2} + i \frac{5}{2}, x = - \frac{1}{2} - i \frac{5}{2}

Die Lösungen sind

x = 1, x = - \frac{1}{2} + i \frac{5}{2}, x = - \frac{1}{2} - i \frac{5}{2}

Graph

Beliebte Beispiele

solvefor x,x^3+y^3=126

so l v e f or x, x^{3} + y^{3} = 126

x^{3} = - 10

x^{3} = - 15

x^{4} = 5

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

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