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Beliebt Algebra >

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

Lösung

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

Lösung

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

+1

Dezimale

x = 1, x = - 1, x = 0.70710 \dots, x = - 0.70710 \dots

Schritte zur Lösung

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

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

2 u^{2} - 3 u + 1 = 0

Löse

2 u^{2} - 3 u + 1 = 0 : u = 1, u = \frac{1}{2}

u = 1, u = \frac{1}{2}

Setze

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

löse für

x

Löse

x^{2} = 1 : x = 1, x = - 1

Löse

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

solvefor x,0=x^3-y+5

so l v e f or x, 0 = x^{3} - y + 5

2 x^{3} - 5 x^{2} = 12 x

12x^3-12x^2-12x=0

12 x^{3} - 12 x^{2} - 12 x = 0

168x-3x^2-3x^3=0

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

(x - 1)^{4} = 0