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Beliebt Algebra >

9x^3-63x^2-16x+112=0

Lösung

9 x^{3} - 63 x^{2} - 16 x + 112 = 0

Lösung

x = 7, x = - \frac{4}{3}, x = \frac{4}{3}

+1

Dezimale

x = 7, x = - 1.33333 \dots, x = 1.33333 \dots

Schritte zur Lösung

9 x^{3} - 63 x^{2} - 16 x + 112 = 0

Faktorisiere

9 x^{3} - 63 x^{2} - 16 x + 112 : (x - 7) (3 x + 4) (3 x - 4)

(x - 7) (3 x + 4) (3 x - 4) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 7 = 0 or 3 x + 4 = 0 or 3 x - 4 = 0

Löse

x - 7 = 0 : x = 7

Löse

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

Löse

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

Die Lösungen sind

x = 7, x = - \frac{4}{3}, x = \frac{4}{3}

Graph

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