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Beliebt Algebra >

5x^3-23x^2+29x-15=0

Lösung

5 x^{3} - 23 x^{2} + 29 x - 15 = 0

Lösung

x = 3, x = \frac{4}{5} + i \frac{3}{5}, x = \frac{4}{5} - i \frac{3}{5}

Schritte zur Lösung

5 x^{3} - 23 x^{2} + 29 x - 15 = 0

Faktorisiere

5 x^{3} - 23 x^{2} + 29 x - 15 : (x - 3) (5 x^{2} - 8 x + 5)

(x - 3) (5 x^{2} - 8 x + 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 3 = 0 or 5 x^{2} - 8 x + 5 = 0

Löse

x - 3 = 0 : x = 3

Löse

5 x^{2} - 8 x + 5 = 0 : x = \frac{4}{5} + i \frac{3}{5}, x = \frac{4}{5} - i \frac{3}{5}

Die Lösungen sind

x = 3, x = \frac{4}{5} + i \frac{3}{5}, x = \frac{4}{5} - i \frac{3}{5}

Graph

Beliebte Beispiele

(x + 2)^{4} = 0

x=9x^6x10^{22}x10^{23}

x = 9 x^{6} x 1 0^{22} x 1 0^{23}

0=3x^4-8x^3+6x^2

0 = 3 x^{4} - 8 x^{3} + 6 x^{2}

x^{3} + 4 x^{2} + 8 x = 0

3=0.03x^3+0.05x^2

3 = 0.03 x^{3} + 0.05 x^{2}