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Beliebt Algebra >

r^4= 16/81

Lösung

r^{4} = \frac{16}{81}

Lösung

r = \frac{2}{3}, r = - \frac{2}{3}, r = \frac{2}{3} i, r = - \frac{2}{3} i

Schritte zur Lösung

r^{4} = \frac{16}{81}

Schreibe die Gleichung um mit

u = r^{2}

und

u^{2} = r^{4}

u^{2} = \frac{16}{81}

Löse

u^{2} = \frac{16}{81} : u = \frac{16}{81}, u = - \frac{16}{81}

u = \frac{16}{81}, u = - \frac{16}{81}

Setze

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

löse für

r

Löse

r^{2} = \frac{16}{81} : r = \frac{2}{3}, r = - \frac{2}{3}

Löse

r^{2} = - \frac{16}{81} : r = \frac{2}{3} i, r = - \frac{2}{3} i

Die Lösungen sind

r = \frac{2}{3}, r = - \frac{2}{3}, r = \frac{2}{3} i, r = - \frac{2}{3} i

Graph

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