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Beliebt Algebra >

9x^2-24x^{16}=0

Lösung

9 x^{2} - 24 x^{16} = 0

Lösung

x = 0, x = 7 \frac{3}{8}, x = - 7 \frac{3}{8}

+1

Dezimale

x = 0, x = 0.93233 \dots, x = - 0.93233 \dots

Schritte zur Lösung

9 x^{2} - 24 x^{16} = 0

Schreibe in der Standard Form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- 24 x^{16} + 9 x^{2} = 0

Schreibe die Gleichung um mit

u = x^{2}

und

u^{8} = x^{16}

- 24 u^{8} + 9 u = 0

Löse

- 24 u^{8} + 9 u = 0 : u = 0, u = 7 \frac{3}{8}

u = 0, u = 7 \frac{3}{8}

Setze

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

löse für

x

Löse

x^{2} = 0 : x = 0

Löse

x^{2} = 7 \frac{3}{8} : x = 7 \frac{3}{8}, x = - 7 \frac{3}{8}

Die Lösungen sind

x = 0, x = 7 \frac{3}{8}, x = - 7 \frac{3}{8}

Graph

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