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Beliebt Algebra >

x^4-7x=0

Lösung

x^{4} - 7 x = 0

Lösung

x = 0, x = 37, x = - 37 \frac{1}{2} + 37 \frac{3}{2} i, x = - 37 \frac{1}{2} - 37 \frac{3}{2} i

Schritte zur Lösung

x^{4} - 7 x = 0

Faktorisiere

x^{4} - 7 x : x (x^{3} - 7)

x (x^{3} - 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{3} - 7 = 0

Löse

x^{3} - 7 = 0 : x = 37, x = - 37 \frac{1}{2} + 37 \frac{3}{2} i, x = - 37 \frac{1}{2} - 37 \frac{3}{2} i

Die Lösungen sind

x = 0, x = 37, x = - 37 \frac{1}{2} + 37 \frac{3}{2} i, x = - 37 \frac{1}{2} - 37 \frac{3}{2} i

Graph

Beliebte Beispiele

- 10 = 4 x^{4} - 10

x^3+6x^2-28x-96=0

x^{3} + 6 x^{2} - 28 x - 96 = 0

x^{8} - x^{4} - 30 = 0

4x^3-x^2+100x-25=0

4 x^{3} - x^{2} + 100 x - 25 = 0

z^4+4z^3+2z^2-12z-15=0

z^{4} + 4 z^{3} + 2 z^{2} - 12 z - 15 = 0