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人気のある代数 >

x^6=4096

解

x^{6} = 4096

解

x = 4, x = - 4, x = 2 + 23 i, x = - 2 - 23 i, x = 2 - 23 i, x = - 2 + 23 i

解答ステップ

x^{6} = 4096

equationを

u = x^{2}

と以下で書き換える:

u^{3} = x^{6}

u^{3} = 4096

解く

u^{3} = 4096 : u = 34096, u = 34096 \frac{- 1 + 3 i}{2}, u = 34096 \frac{- 1 - 3 i}{2}

u = 34096, u = 34096 \frac{- 1 + 3 i}{2}, u = 34096 \frac{- 1 - 3 i}{2}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 34096 : x = 4, x = - 4

解く

x^{2} = 34096 \frac{- 1 + 3 i}{2} : x = 2 + 23 i, x = - 2 - 23 i

解く

x^{2} = 34096 \frac{- 1 - 3 i}{2} : x = 2 - 23 i, x = - 2 + 23 i

解答は

x = 4, x = - 4, x = 2 + 23 i, x = - 2 - 23 i, x = 2 - 23 i, x = - 2 + 23 i

グラフ

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