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Beliebt Algebra >

x^4-5x=0

Lösung

x^{4} - 5 x = 0

Lösung

x = 0, x = 35, x = - 35 \frac{1}{2} + 35 \frac{3}{2} i, x = - 35 \frac{1}{2} - 35 \frac{3}{2} i

Schritte zur Lösung

x^{4} - 5 x = 0

Faktorisiere

x^{4} - 5 x : x (x^{3} - 5)

x (x^{3} - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{3} - 5 = 0

Löse

x^{3} - 5 = 0 : x = 35, x = - 35 \frac{1}{2} + 35 \frac{3}{2} i, x = - 35 \frac{1}{2} - 35 \frac{3}{2} i

Die Lösungen sind

x = 0, x = 35, x = - 35 \frac{1}{2} + 35 \frac{3}{2} i, x = - 35 \frac{1}{2} - 35 \frac{3}{2} i

Graph

Beliebte Beispiele

20u^4-13u^2+2=0

20 u^{4} - 13 u^{2} + 2 = 0

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

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

445 = 5 x^{3}

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

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

2x^3-3x^2+32x+17=0

2 x^{3} - 3 x^{2} + 32 x + 17 = 0