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人気のある代数 >

x^4-81=0

解

x^{4} - 81 = 0

解

x = 3, x = - 3, x = 3 i, x = - 3 i

解答ステップ

x^{4} - 81 = 0

81

を右側に移動します

x^{4} = 81

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} = 81

解く

u^{2} = 81 : u = 81, u = - 81

u = 81, u = - 81

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 81 : x = 3, x = - 3

解く

x^{2} = - 81 : x = 3 i, x = - 3 i

解答は

x = 3, x = - 3, x = 3 i, x = - 3 i

グラフ

人気の例

x^{4} - 6 x^{2} + 5 = 0

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(x) = 3 x^{3} + x^{2} - 22 x + 9

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