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Beliebt Algebra >

4x^3-57x^2+252x-324=0

Lösung

4 x^{3} - 57 x^{2} + 252 x - 324 = 0

Lösung

x = 6, x = \frac{9}{4}

+1

Dezimale

x = 6, x = 2.25

Schritte zur Lösung

4 x^{3} - 57 x^{2} + 252 x - 324 = 0

Faktorisiere

4 x^{3} - 57 x^{2} + 252 x - 324 : (x - 6)^{2} (4 x - 9)

(x - 6)^{2} (4 x - 9) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 6 = 0 or 4 x - 9 = 0

Löse

x - 6 = 0 : x = 6

Löse

4 x - 9 = 0 : x = \frac{9}{4}

Die Lösungen sind

x = 6, x = \frac{9}{4}

Graph

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