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Beliebt Algebra >

2x^4-9x^2+4=0

Lösung

2 x^{4} - 9 x^{2} + 4 = 0

Lösung

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

+1

Dezimale

x = 2, x = - 2, x = 0.70710 \dots, x = - 0.70710 \dots

Schritte zur Lösung

2 x^{4} - 9 x^{2} + 4 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

2 u^{2} - 9 u + 4 = 0

Löse

2 u^{2} - 9 u + 4 = 0 : u = 4, u = \frac{1}{2}

u = 4, u = \frac{1}{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{1}{2} : x = \frac{1}{2}, x = - \frac{1}{2}

Die Lösungen sind

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

Graph

Beliebte Beispiele

x^{2} - (x - 1)^{3} = 1

- x^{3} + 3 \cdot x + 2 = 0

x^{8} - 15 x^{4} - 16 = 0

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

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

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