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Beliebt Algebra >

(8x-7)(x^2-5)=0

Lösung

(8 x - 7) (x^{2} - 5) = 0

Lösung

x = \frac{7}{8}, x = - 5, x = 5

+1

Dezimale

x = 0.875, x = - 2.23606 \dots, x = 2.23606 \dots

Schritte zur Lösung

(8 x - 7) (x^{2} - 5) = 0

Faktorisiere

(8 x - 7) (x^{2} - 5) : (8 x - 7) (x + 5) (x - 5)

(8 x - 7) (x + 5) (x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

8 x - 7 = 0 or x + 5 = 0 or x - 5 = 0

Löse

8 x - 7 = 0 : x = \frac{7}{8}

Löse

x + 5 = 0 : x = - 5

Löse

x - 5 = 0 : x = 5

Die Lösungen sind

x = \frac{7}{8}, x = - 5, x = 5

Graph

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