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人気のある代数 >

x^4-8x^2+4=0

解

x^{4} - 8 x^{2} + 4 = 0

解

x = 2 (2 + 3), x = - 2 (2 + 3), x = 2 (2 - 3), x = - 2 (2 - 3)

+1

十進法表記

x = 2.73205 \dots, x = - 2.73205 \dots, x = 0.73205 \dots, x = - 0.73205 \dots

解答ステップ

x^{4} - 8 x^{2} + 4 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 8 u + 4 = 0

解く

u^{2} - 8 u + 4 = 0 : u = 2 (2 + 3), u = 2 (2 - 3)

u = 2 (2 + 3), u = 2 (2 - 3)

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 2 (2 + 3) : x = 2 (2 + 3), x = - 2 (2 + 3)

解く

x^{2} = 2 (2 - 3) : x = 2 (2 - 3), x = - 2 (2 - 3)

解答は

x = 2 (2 + 3), x = - 2 (2 + 3), x = 2 (2 - 3), x = - 2 (2 - 3)

グラフ

人気の例

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