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人気のある代数 >

256/625 =100r^6

解

\frac{256}{625} = 100 r^{6}

解

r = \frac{2}{5}, r = - \frac{2}{5}, r = \frac{1}{5} + \frac{3}{5} i, r = - \frac{1}{5} - \frac{3}{5} i, r = \frac{1}{5} - \frac{3}{5} i, r = - \frac{1}{5} + \frac{3}{5} i

解答ステップ

\frac{256}{625} = 100 r^{6}

辺を交換する

100 r^{6} = \frac{256}{625}

以下で両辺を割る

100

r^{6} = \frac{64}{15625}

equationを

u = r^{2}

と以下で書き換える:

u^{3} = r^{6}

u^{3} = \frac{64}{15625}

解く

u^{3} = \frac{64}{15625} : u = 3 \frac{64}{15625}, u = 3 \frac{64}{15625} \frac{- 1 + 3 i}{2}, u = 3 \frac{64}{15625} \frac{- 1 - 3 i}{2}

u = 3 \frac{64}{15625}, u = 3 \frac{64}{15625} \frac{- 1 + 3 i}{2}, u = 3 \frac{64}{15625} \frac{- 1 - 3 i}{2}

再び

u = r^{2}

に置き換えて以下を解く:

r

解く

r^{2} = 3 \frac{64}{15625} : r = \frac{2}{5}, r = - \frac{2}{5}

解く

r^{2} = 3 \frac{64}{15625} \frac{- 1 + 3 i}{2} : r = \frac{1}{5} + \frac{3}{5} i, r = - \frac{1}{5} - \frac{3}{5} i

解く

r^{2} = 3 \frac{64}{15625} \frac{- 1 - 3 i}{2} : r = \frac{1}{5} - \frac{3}{5} i, r = - \frac{1}{5} + \frac{3}{5} i

解答は

r = \frac{2}{5}, r = - \frac{2}{5}, r = \frac{1}{5} + \frac{3}{5} i, r = - \frac{1}{5} - \frac{3}{5} i, r = \frac{1}{5} - \frac{3}{5} i, r = - \frac{1}{5} + \frac{3}{5} i

グラフ

人気の例

n^{3} = 343

4 X^{3} = 2 X^{2}

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

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

3 w - w^{3} = 2

x^{5} = 1 0^{35}