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Beliebt Algebra >

9x^4-13x^2+4=0

Lösung

9 x^{4} - 13 x^{2} + 4 = 0

Lösung

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

+1

Dezimale

x = 1, x = - 1, x = 0.66666 \dots, x = - 0.66666 \dots

Schritte zur Lösung

9 x^{4} - 13 x^{2} + 4 = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{2} = x^{4}

9 u^{2} - 13 u + 4 = 0

Löse

9 u^{2} - 13 u + 4 = 0 : u = 1, u = \frac{4}{9}

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

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

Die Lösungen sind

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

Graph

Beliebte Beispiele

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x^{3} - 13 x^{2} + 47 x - 35 = 0

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x^{3} + 2 x^{2} - 5 x + 12 = 0

x^6-4x^4-16x^2+64=0

x^{6} - 4 x^{4} - 16 x^{2} + 64 = 0

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