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Beliebt Algebra >

faktorisieren x^{5/2}-100x^{1/2}

Lösung

faktorisieren

x^{\frac{5}{2}} - 100 x^{\frac{1}{2}}

Lösung

x (x + 10) (x - 10)

Schritte zur Lösung

x^{\frac{5}{2}} - 100 x^{\frac{1}{2}}

Schreibe

x^{\frac{5}{2}}

um:

(x)^{5}

= (x)^{5} - 100 x^{\frac{1}{2}}

Klammere gleiche Terme aus

x : x ((x)^{4} - 100)

= x ((x)^{4} - 100)

Faktorisiere

(x)^{4} - 100 : ((x)^{2} + 10) ((x)^{2} - 10)

= x ((x)^{2} + 10) ((x)^{2} - 10)

Vereinfache

x ((x)^{2} + 10) ((x)^{2} - 10) : x (x + 10) (x - 10)

= x (x + 10) (x - 10)

Beliebte Beispiele

b + (2 b + 13) = 76

2x(x-4)+5x(1-x)=3(x+1)

2 x (x - 4) + 5 x (1 - x) = 3 (x + 1)

∣ x - 4 ∣ \leq 7

4 x + 1 = x + 7

x^{4} - 81 \geq 0