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Beliebt Algebra >

2x(x-2)(36x^2-25)=0

Lösung

2 x (x - 2) (36 x^{2} - 25) = 0

Lösung

x = 0, x = 2, x = - \frac{5}{6}, x = \frac{5}{6}

+1

Dezimale

x = 0, x = 2, x = - 0.83333 \dots, x = 0.83333 \dots

Schritte zur Lösung

2 x (x - 2) (36 x^{2} - 25) = 0

Faktorisiere

2 x (x - 2) (36 x^{2} - 25) : 2 x (x - 2) (6 x + 5) (6 x - 5)

2 x (x - 2) (6 x + 5) (6 x - 5) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or x - 2 = 0 or 6 x + 5 = 0 or 6 x - 5 = 0

Löse

x - 2 = 0 : x = 2

Löse

6 x + 5 = 0 : x = - \frac{5}{6}

Löse

6 x - 5 = 0 : x = \frac{5}{6}

Die Lösungen sind

x = 0, x = 2, x = - \frac{5}{6}, x = \frac{5}{6}

Graph

Beliebte Beispiele

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

0.5x^3-6.5x^2+15x=0

0.5 x^{3} - 6.5 x^{2} + 15 x = 0

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

655 = 5 x^{3}

y = y^{4}