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人気のある代数 >

16/81 =r^4

解

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

解

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

解答ステップ

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

辺を交換する

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

equationを

u = r^{2}

と以下で書き換える:

u^{2} = r^{4}

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

解く

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

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

再び

u = r^{2}

に置き換えて以下を解く:

r

解く

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

解く

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

解答は

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

グラフ

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