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Beliebt Algebra >

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

Lösung

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

Lösung

x = - 1, x = \frac{1}{4} + i \frac{7}{4}, x = \frac{1}{4} - i \frac{7}{4}

Schritte zur Lösung

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

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

2 x^{2} - x + 1 = 0 : x = \frac{1}{4} + i \frac{7}{4}, x = \frac{1}{4} - i \frac{7}{4}

Die Lösungen sind

x = - 1, x = \frac{1}{4} + i \frac{7}{4}, x = \frac{1}{4} - i \frac{7}{4}

Graph

Beliebte Beispiele

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

n^2=(n(n+1)(2n+1))/6

n^{2} = \frac{n ( n + 1 ) ( 2 n + 1 )}{6}

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

67 = a^{3}

x^{4} + 3 x - 2 = 0