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Beliebt Algebra >

2(x^2-100)(36x^2-49)=0

Lösung

2 (x^{2} - 100) (36 x^{2} - 49) = 0

Lösung

x = - 10, x = 10, x = - \frac{7}{6}, x = \frac{7}{6}

+1

Dezimale

x = - 10, x = 10, x = - 1.16666 \dots, x = 1.16666 \dots

Schritte zur Lösung

2 (x^{2} - 100) (36 x^{2} - 49) = 0

Faktorisiere

2 (x^{2} - 100) (36 x^{2} - 49) : 2 (x + 10) (x - 10) (6 x + 7) (6 x - 7)

2 (x + 10) (x - 10) (6 x + 7) (6 x - 7) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x + 10 = 0 or x - 10 = 0 or 6 x + 7 = 0 or 6 x - 7 = 0

Löse

x + 10 = 0 : x = - 10

Löse

x - 10 = 0 : x = 10

Löse

6 x + 7 = 0 : x = - \frac{7}{6}

Löse

6 x - 7 = 0 : x = \frac{7}{6}

Die Lösungen sind

x = - 10, x = 10, x = - \frac{7}{6}, x = \frac{7}{6}

Graph

Beliebte Beispiele

6 x^{4} - 9 x^{3} = 0

12x^3-12x^2-12=0

12 x^{3} - 12 x^{2} - 12 = 0

6 x^{4} - 5 x^{2} - 1 = 0

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

2x(x^2-100)(9x^2-25)=0

2 x (x^{2} - 100) (9 x^{2} - 25) = 0