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Beliebt Algebra >

(49x^2-4)(x^2-7)=0

Lösung

(49 x^{2} - 4) (x^{2} - 7) = 0

Lösung

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

+1

Dezimale

x = - 0.28571 \dots, x = 0.28571 \dots, x = - 2.64575 \dots, x = 2.64575 \dots

Schritte zur Lösung

(49 x^{2} - 4) (x^{2} - 7) = 0

Faktorisiere

(49 x^{2} - 4) (x^{2} - 7) : (7 x + 2) (7 x - 2) (x + 7) (x - 7)

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

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

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

Löse

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

Löse

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

Löse

x + 7 = 0 : x = - 7

Löse

x - 7 = 0 : x = 7

Die Lösungen sind

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

Graph

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