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Beliebt Algebra >

x^3-6x^2+13x-12=0

Lösung

x^{3} - 6 x^{2} + 13 x - 12 = 0

Lösung

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

Schritte zur Lösung

x^{3} - 6 x^{2} + 13 x - 12 = 0

Faktorisiere

x^{3} - 6 x^{2} + 13 x - 12 : (x - 3) (x^{2} - 3 x + 4)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

x - 3 = 0 : x = 3

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

Graph

Beliebte Beispiele

x^2-5x=2x^3-4x^2-x+6

x^{2} - 5 x = 2 x^{3} - 4 x^{2} - x + 6

1200=600x^2(3-x)

1200 = 600 x^{2} (3 - x)

x^{4} - 3 x^{2} = 10

w^{3} = 5

2x^4+x^3-7x^2-3x+3=0

2 x^{4} + x^{3} - 7 x^{2} - 3 x + 3 = 0