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Beliebt Algebra >

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

Lösung

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

Lösung

x = - 1, x = \frac{3}{2} + i \frac{7}{2}, x = \frac{3}{2} - i \frac{7}{2}

Schritte zur Lösung

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

Faktorisiere

x^{3} - 2 x^{2} + x + 4 : (x + 1) (x^{2} - 3 x + 4)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x + 1 = 0 : x = - 1

Löse

x^{2} - 3 x + 4 = 0 : x = \frac{3}{2} + i \frac{7}{2}, x = \frac{3}{2} - i \frac{7}{2}

Die Lösungen sind

x = - 1, x = \frac{3}{2} + i \frac{7}{2}, x = \frac{3}{2} - i \frac{7}{2}

Graph

Beliebte Beispiele

(1-x)^7=(1-x)^5

(1 - x)^{7} = (1 - x)^{5}

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

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

(x-2)^5=8(x-2)^3

(x - 2)^{5} = 8 (x - 2)^{3}

2x^3+3x^2-5x+74=3x^2+8x-6

2 x^{3} + 3 x^{2} - 5 x + 74 = 3 x^{2} + 8 x - 6