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Beliebt Algebra >

100x^3-45x^2-58x+24=0

Lösung

100 x^{3} - 45 x^{2} - 58 x + 24 = 0

Lösung

x = - \frac{3}{4}, x = \frac{2}{5}, x = \frac{4}{5}

+1

Dezimale

x = - 0.75, x = 0.4, x = 0.8

Schritte zur Lösung

100 x^{3} - 45 x^{2} - 58 x + 24 = 0

Faktorisiere

100 x^{3} - 45 x^{2} - 58 x + 24 : (4 x + 3) (5 x - 2) (5 x - 4)

(4 x + 3) (5 x - 2) (5 x - 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

4 x + 3 = 0 or 5 x - 2 = 0 or 5 x - 4 = 0

Löse

4 x + 3 = 0 : x = - \frac{3}{4}

Löse

5 x - 2 = 0 : x = \frac{2}{5}

Löse

5 x - 4 = 0 : x = \frac{4}{5}

Die Lösungen sind

x = - \frac{3}{4}, x = \frac{2}{5}, x = \frac{4}{5}

Graph

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-λ^3-λ^2+8λ+12=0

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