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Beliebt Algebra >

(x^2-5)(x-2)=0

Lösung

(x^{2} - 5) (x - 2) = 0

Lösung

x = 2, x = - 5, x = 5

+1

Dezimale

x = 2, x = - 2.23606 \dots, x = 2.23606 \dots

Schritte zur Lösung

(x^{2} - 5) (x - 2) = 0

Faktorisiere

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

(x - 2) (x + 5) (x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x - 2 = 0 or x + 5 = 0 or x - 5 = 0

Löse

x - 2 = 0 : x = 2

Löse

x + 5 = 0 : x = - 5

Löse

x - 5 = 0 : x = 5

Die Lösungen sind

x = 2, x = - 5, x = 5

Graph

Beliebte Beispiele

12x^3+27x^2-30x=0

12 x^{3} + 27 x^{2} - 30 x = 0

(1 - x^{2})^{2} = 0

x^{3} = - 343

2 x^{3} + 6 x^{2} + 1 = 0

6x^3-47x^2+36x-7=0

6 x^{3} - 47 x^{2} + 36 x - 7 = 0