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人気のある代数 >

x^2x^6=256

解

x^{2} x^{6} = 256

解

x = 2, x = - 2, x = 2 i, x = - 2 i, x = 2 + 2 i, x = - 2 - 2 i, x = 2 - 2 i, x = - 2 + 2 i

解答ステップ

x^{2} x^{6} = 256

簡素化

x^{8} = 256

equationを

u = x^{2}

と以下で書き換える:

u^{4} = x^{8}

u^{4} = 256

解く

u^{4} = 256 : u = 4, u = - 4, u = 4 i, u = - 4 i

u = 4, u = - 4, u = 4 i, u = - 4 i

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解く

x^{2} = 4 i : x = 2 + 2 i, x = - 2 - 2 i

解く

x^{2} = - 4 i : x = 2 - 2 i, x = - 2 + 2 i

解答は

x = 2, x = - 2, x = 2 i, x = - 2 i, x = 2 + 2 i, x = - 2 - 2 i, x = 2 - 2 i, x = - 2 + 2 i

グラフ

人気の例

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x^{4} - 27 x^{2} + 176 = 0

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x^{3} + 4 x^{2} - 29 x + 24 = 0

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