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Beliebt Algebra >

x(2x^2-1)=0

Lösung

x (2 x^{2} - 1) = 0

Lösung

x = 0, x = - \frac{1}{2}, x = \frac{1}{2}

+1

Dezimale

x = 0, x = - 0.70710 \dots, x = 0.70710 \dots

Schritte zur Lösung

x (2 x^{2} - 1) = 0

Faktorisiere

x (2 x^{2} - 1) : x (2 x + 1) (2 x - 1)

x (2 x + 1) (2 x - 1) = 0

Anwendung des Nullfaktorprinzips: Wenn

ab = 0

dann

a = 0

oder

b = 0

x = 0 or 2 x + 1 = 0 or 2 x - 1 = 0

Löse

2 x + 1 = 0 : x = - \frac{1}{2}

Löse

2 x - 1 = 0 : x = \frac{1}{2}

Die Lösungen sind

x = 0, x = - \frac{1}{2}, x = \frac{1}{2}

Graph

Beliebte Beispiele

rationalrootstest 2x^3-11x^2+12x+9=0

r a t i o na l roo t s t es t 2 x^{3} - 11 x^{2} + 12 x + 9 = 0

4 x^{4} - 4 x = 0

4x-7x^5+16x^2=0

4 x - 7 x^{5} + 16 x^{2} = 0

solvefor x,4x^3-2x=0

so l v e f or x, 4 x^{3} - 2 x = 0

x^3-6x^2+9x-8=0

x^{3} - 6 x^{2} + 9 x - 8 = 0