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人気のある代数 >

m^4-13m^2-48=0

解

m^{4} - 13 m^{2} - 48 = 0

解

m = 4, m = - 4, m = 3 i, m = - 3 i

解答ステップ

m^{4} - 13 m^{2} - 48 = 0

equationを

u = m^{2}

と以下で書き換える:

u^{2} = m^{4}

u^{2} - 13 u - 48 = 0

解く

u^{2} - 13 u - 48 = 0 : u = 16, u = - 3

u = 16, u = - 3

再び

u = m^{2}

に置き換えて以下を解く:

m

解く

m^{2} = 16 : m = 4, m = - 4

解く

m^{2} = - 3 : m = 3 i, m = - 3 i

解答は

m = 4, m = - 4, m = 3 i, m = - 3 i

グラフ

人気の例

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