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Beliebt Algebra >

(x^2-2)(5x+3)=0

Lösung

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

Lösung

x = - \frac{3}{5}, x = - 2, x = 2

+1

Dezimale

x = - 0.6, x = - 1.41421 \dots, x = 1.41421 \dots

Schritte zur Lösung

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

Faktorisiere

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

(5 x + 3) (x + 2) (x - 2) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

5 x + 3 = 0 or x + 2 = 0 or x - 2 = 0

Löse

5 x + 3 = 0 : x = - \frac{3}{5}

Löse

x + 2 = 0 : x = - 2

Löse

x - 2 = 0 : x = 2

Die Lösungen sind

x = - \frac{3}{5}, x = - 2, x = 2

Graph

Beliebte Beispiele

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