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Beliebt Algebra >

x^5-x^4-9x^3=0

Lösung

x^{5} - x^{4} - 9 x^{3} = 0

Lösung

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

+1

Dezimale

x = 0, x = 3.54138 \dots, x = - 2.54138 \dots

Schritte zur Lösung

x^{5} - x^{4} - 9 x^{3} = 0

Faktorisiere

x^{5} - x^{4} - 9 x^{3} : x^{3} (x^{2} - x - 9)

x^{3} (x^{2} - x - 9) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x^{2} - x - 9 = 0

Löse

x^{2} - x - 9 = 0 : x = \frac{1 + 37}{2}, x = \frac{1 - 37}{2}

Die Lösungen sind

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

Graph

Beliebte Beispiele

3 x^{3} - 5 x + 2 = 0

(3x-1)^2x(x-3)=1

(3 x - 1)^{2} x (x - 3) = 1

- 2 (x + 2)^{3} - 8 = 0

solvefor x,f=x^4-6x^2+6

so l v e f or x, f = x^{4} - 6 x^{2} + 6

z^{3} + z + 1 = 0