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Beliebt Algebra >

x^5-7x^2=0

Lösung

x^{5} - 7 x^{2} = 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^{5} - 7 x^{2} = 0

Faktorisiere

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

x^{2} (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

4x^4+25x^2+36=0

4 x^{4} + 25 x^{2} + 36 = 0

- 4 = x^{5} - 5 x

solvefor x,x^3+y^3=2

so l v e f or x, x^{3} + y^{3} = 2

x^3-3x^2+3x+1=0

x^{3} - 3 x^{2} + 3 x + 1 = 0

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