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Beliebt Algebra >

16x^4-40x^2+9=0

Lösung

16 x^{4} - 40 x^{2} + 9 = 0

Lösung

x = \frac{3}{2}, x = - \frac{3}{2}, x = \frac{1}{2}, x = - \frac{1}{2}

+1

Dezimale

x = 1.5, x = - 1.5, x = 0.5, x = - 0.5

Schritte zur Lösung

16 x^{4} - 40 x^{2} + 9 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

16 u^{2} - 40 u + 9 = 0

Löse

16 u^{2} - 40 u + 9 = 0 : u = \frac{9}{4}, u = \frac{1}{4}

u = \frac{9}{4}, u = \frac{1}{4}

Setze

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

löse für

x

Löse

x^{2} = \frac{9}{4} : x = \frac{3}{2}, x = - \frac{3}{2}

Löse

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

Die Lösungen sind

x = \frac{3}{2}, x = - \frac{3}{2}, x = \frac{1}{2}, x = - \frac{1}{2}

Graph

Beliebte Beispiele

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

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x^{3} + 5 x + 17 = 59

(x-2)^2(x+2)=(x+1)(x+5)

(x - 2)^{2} (x + 2) = (x + 1) (x + 5)