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Beliebt Algebra >

48x^3+32x^2-75x-50=0

Lösung

48 x^{3} + 32 x^{2} - 75 x - 50 = 0

Lösung

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

+1

Dezimale

x = - 0.66666 \dots, x = - 1.25, x = 1.25

Schritte zur Lösung

48 x^{3} + 32 x^{2} - 75 x - 50 = 0

Faktorisiere

48 x^{3} + 32 x^{2} - 75 x - 50 : (3 x + 2) (4 x + 5) (4 x - 5)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

3 x + 2 = 0 : x = - \frac{2}{3}

Löse

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

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

r^{3} = - 1

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(x^{2} + 1) (2 x - 2) = 0

4 \cdot (x^{4} + 1) = 5 x^{2}