faktorisieren x^2+10x+25-x^4

Lösung

faktorisieren

x^{2} + 10 x + 25 - x^{4}

- (x^{2} + x + 5) (x^{2} - x - 5)

Schritte zur Lösung

x^{2} + 10 x + 25 - x^{4}

Schreibe in der Standard Form

= - x^{4} + x^{2} + 10 x + 25

Klammere aus

- 1 : - (x^{4} - x^{2} - 10 x - 25)

= - (x^{4} - x^{2} - 10 x - 25)

Faktorisiere

x^{4} - x^{2} - 10 x - 25 : (x^{2} + x + 5) (x^{2} - x - 5)

= - (x^{2} + x + 5) (x^{2} - x - 5)

x^{2} = 12 x - 7

6 x - 35 = - 77

6 z^{2} - 7 z - 3 = 0

(3 + 2)^{2} \cdot 2

\frac{x}{x - 4} > 5