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Beliebt Algebra >

(2x+7)(x^2-15)=0

Lösung

(2 x + 7) (x^{2} - 15) = 0

Lösung

x = - \frac{7}{2}, x = - 15, x = 15

+1

Dezimale

x = - 3.5, x = - 3.87298 \dots, x = 3.87298 \dots

Schritte zur Lösung

(2 x + 7) (x^{2} - 15) = 0

Faktorisiere

(2 x + 7) (x^{2} - 15) : (2 x + 7) (x + 15) (x - 15)

(2 x + 7) (x + 15) (x - 15) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

2 x + 7 = 0 or x + 15 = 0 or x - 15 = 0

Löse

2 x + 7 = 0 : x = - \frac{7}{2}

Löse

x + 15 = 0 : x = - 15

Löse

x - 15 = 0 : x = 15

Die Lösungen sind

x = - \frac{7}{2}, x = - 15, x = 15

Graph

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