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Beliebt Algebra >

2x^4+5x^3-7x^2=0

Lösung

2 x^{4} + 5 x^{3} - 7 x^{2} = 0

Lösung

x = 0, x = 1, x = - \frac{7}{2}

+1

Dezimale

x = 0, x = 1, x = - 3.5

Schritte zur Lösung

2 x^{4} + 5 x^{3} - 7 x^{2} = 0

Faktorisiere

2 x^{4} + 5 x^{3} - 7 x^{2} : x^{2} (x - 1) (2 x + 7)

x^{2} (x - 1) (2 x + 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x - 1 = 0 or 2 x + 7 = 0

Löse

x - 1 = 0 : x = 1

Löse

2 x + 7 = 0 : x = - \frac{7}{2}

Die Lösungen sind

x = 0, x = 1, x = - \frac{7}{2}

Graph

Beliebte Beispiele

z^{3} - 1 = 0

x^{3} = 12

3 x^{5} = 24 x^{2}

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

x(x^2-3)=x(x+3)

x (x^{2} - 3) = x (x + 3)