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人気のある代数 >

2x^4-20x^2-12=0

解

2 x^{4} - 20 x^{2} - 12 = 0

解

x = 5 + 31, x = - 5 + 31, x = - 5 + 31 i, x = - - 5 + 31 i

解答ステップ

2 x^{4} - 20 x^{2} - 12 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

2 u^{2} - 20 u - 12 = 0

解く

2 u^{2} - 20 u - 12 = 0 : u = 5 + 31, u = 5 - 31

u = 5 + 31, u = 5 - 31

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 5 + 31 : x = 5 + 31, x = - 5 + 31

解く

x^{2} = 5 - 31 : x = - 5 + 31 i, x = - - 5 + 31 i

解答は

x = 5 + 31, x = - 5 + 31, x = - 5 + 31 i, x = - - 5 + 31 i

グラフ

人気の例

x^{3} + x - 2 = 0

x^{3} = 125

m^3-3m^2+3m-1=0

m^{3} - 3 m^{2} + 3 m - 1 = 0

z^{4} = - 4

2x^3-27x^2-4x+7=0

2 x^{3} - 27 x^{2} - 4 x + 7 = 0