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Beliebt Algebra >

4x^4-4x=0

Lösung

4 x^{4} - 4 x = 0

Lösung

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

Schritte zur Lösung

4 x^{4} - 4 x = 0

Faktorisiere

4 x^{4} - 4 x : 4 x (x^{3} - 1)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{3} - 1 = 0

Löse

x^{3} - 1 = 0 : x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

Die Lösungen sind

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

Graph

Beliebte Beispiele

4x-7x^5+16x^2=0

4 x - 7 x^{5} + 16 x^{2} = 0

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

so l v e f or x, 4 x^{3} - 2 x = 0

x^3-6x^2+9x-8=0

x^{3} - 6 x^{2} + 9 x - 8 = 0

4x^5-5x^4+5x^3+11x^2-24x+12=0

4 x^{5} - 5 x^{4} + 5 x^{3} + 11 x^{2} - 24 x + 12 = 0

solvefor y,x^4+y^4=x^2y^2

so l v e f or y, x^{4} + y^{4} = x^{2} y^{2}