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Beliebt Algebra >

2x^4-11x^2+12=0

Lösung

2 x^{4} - 11 x^{2} + 12 = 0

Lösung

x = 2, x = - 2, x = \frac{3}{2}, x = - \frac{3}{2}

+1

Dezimale

x = 2, x = - 2, x = 1.22474 \dots, x = - 1.22474 \dots

Schritte zur Lösung

2 x^{4} - 11 x^{2} + 12 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

2 u^{2} - 11 u + 12 = 0

Löse

2 u^{2} - 11 u + 12 = 0 : u = 4, u = \frac{3}{2}

u = 4, u = \frac{3}{2}

Setze

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

löse für

x

Löse

x^{2} = 4 : x = 2, x = - 2

Löse

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

Die Lösungen sind

x = 2, x = - 2, x = \frac{3}{2}, x = - \frac{3}{2}

Graph

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6500 = 6000 (1 + \frac{r}{4})^{24}

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