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人気のある代数 >

x^4-4x^2+2=0

解

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

解

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

+1

十進法表記

x = 1.84775 \dots, x = - 1.84775 \dots, x = 0.76536 \dots, x = - 0.76536 \dots

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 4 u + 2 = 0

解く

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

u = 2 + 2, u = 2 - 2

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解答は

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

グラフ

人気の例

z^{5} = 32 i

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