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人気のある代数 >

x^4-10x^2+1=0

解

x^{4} - 10 x^{2} + 1 = 0

解

x = 5 + 26, x = - 5 + 26, x = 5 - 26, x = - 5 - 26

+1

十進法表記

x = 3.14626 \dots, x = - 3.14626 \dots, x = 0.31783 \dots, x = - 0.31783 \dots

解答ステップ

x^{4} - 10 x^{2} + 1 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 10 u + 1 = 0

解く

u^{2} - 10 u + 1 = 0 : u = 5 + 26, u = 5 - 26

u = 5 + 26, u = 5 - 26

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 5 + 26 : x = 5 + 26, x = - 5 + 26

解く

x^{2} = 5 - 26 : x = 5 - 26, x = - 5 - 26

解答は

x = 5 + 26, x = - 5 + 26, x = 5 - 26, x = - 5 - 26

グラフ

人気の例

2 x^{3} - 4 x^{2} = 0

(x^2+3x+4)(x^2-1)=0

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4 x^{3} + 6 x^{2} + 2 x = 0

x^{3} + 5 x^{2} - 20 = 0