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人気のある代数 >

x^4+13x^2+36=0

解

x^{4} + 13 x^{2} + 36 = 0

解

x = 2 i, x = - 2 i, x = 3 i, x = - 3 i

解答ステップ

x^{4} + 13 x^{2} + 36 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} + 13 u + 36 = 0

解く

u^{2} + 13 u + 36 = 0 : u = - 4, u = - 9

u = - 4, u = - 9

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

x^{2} = - 9 : x = 3 i, x = - 3 i

解答は

x = 2 i, x = - 2 i, x = 3 i, x = - 3 i

グラフ

人気の例

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