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Beliebt Algebra >

8x^5+2x^4-3x^3=0

Lösung

8 x^{5} + 2 x^{4} - 3 x^{3} = 0

Lösung

x = 0, x = \frac{1}{2}, x = - \frac{3}{4}

+1

Dezimale

x = 0, x = 0.5, x = - 0.75

Schritte zur Lösung

8 x^{5} + 2 x^{4} - 3 x^{3} = 0

Faktorisiere

8 x^{5} + 2 x^{4} - 3 x^{3} : x^{3} (2 x - 1) (4 x + 3)

x^{3} (2 x - 1) (4 x + 3) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 2 x - 1 = 0 or 4 x + 3 = 0

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Löse

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

Die Lösungen sind

x = 0, x = \frac{1}{2}, x = - \frac{3}{4}

Graph

Beliebte Beispiele

25 x^{3} - 16 x = 0

25x^4-20x^2+3=0

25 x^{4} - 20 x^{2} + 3 = 0

x^{3} - 5 x^{2} - 6 x = 0

x^3+5x^2+3x-9=0

x^{3} + 5 x^{2} + 3 x - 9 = 0

(x^{2} - x)^{2} = x^{2}