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Beliebt Algebra >

4x^2-2x^3-2x^3-x^4=0

Lösung

4 x^{2} - 2 x^{3} - 2 x^{3} - x^{4} = 0

Lösung

x = 0, x = 2 (2 - 1), x = - 2 (1 + 2)

+1

Dezimale

x = 0, x = 0.82842 \dots, x = - 4.82842 \dots

Schritte zur Lösung

4 x^{2} - 2 x^{3} - 2 x^{3} - x^{4} = 0

Faktorisiere

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

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or - 4 + 4 x + x^{2} = 0

Löse

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

Die Lösungen sind

x = 0, x = 2 (2 - 1), x = - 2 (1 + 2)

Graph

Beliebte Beispiele

3x^3+x^2-38x+24=0

3 x^{3} + x^{2} - 38 x + 24 = 0

3018=x^4-x^3-7x^2+9x

3018 = x^{4} - x^{3} - 7 x^{2} + 9 x

-x^3+6x^2-12x+6=0

- x^{3} + 6 x^{2} - 12 x + 6 = 0

x^{4} - 3 4^{2} + 255 = 0

65273^2=w^4+4w^2

6527 3^{2} = w^{4} + 4 w^{2}