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Beliebt Algebra >

6x^4-14x^2=0

Lösung

6 x^{4} - 14 x^{2} = 0

Lösung

x = \frac{7}{3}, x = - \frac{7}{3}, x = 0

+1

Dezimale

x = 1.52752 \dots, x = - 1.52752 \dots, x = 0

Schritte zur Lösung

6 x^{4} - 14 x^{2} = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

6 u^{2} - 14 u = 0

Löse

6 u^{2} - 14 u = 0 : u = \frac{7}{3}, u = 0

u = \frac{7}{3}, u = 0

Setze

u = x^{2} w i e d er e in,

löse für

x

Löse

x^{2} = \frac{7}{3} : x = \frac{7}{3}, x = - \frac{7}{3}

Löse

x^{2} = 0 : x = 0

Die Lösungen sind

x = \frac{7}{3}, x = - \frac{7}{3}, x = 0

Graph

Beliebte Beispiele

3x^6+4x^4+4x^2+1=0

3 x^{6} + 4 x^{4} + 4 x^{2} + 1 = 0

n^3-n^2+15n-500=0

n^{3} - n^{2} + 15 n - 500 = 0

2 x^{4} - x^{2} = 0

x^{6} + 12 x^{3} + 32 = 0

solvefor x,y^2=cx^4-2

so l v e f or x, y^{2} = c x^{4} - 2