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人気のある代数 >

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

解

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

解

x = 4 + 14, x = - 4 + 14, x = 4 - 14, x = - 4 - 14

+1

十進法表記

x = 2.78238 \dots, x = - 2.78238 \dots, x = 0.50827 \dots, x = - 0.50827 \dots

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

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

解く

u^{2} - 8 u + 2 = 0 : u = 4 + 14, u = 4 - 14

u = 4 + 14, u = 4 - 14

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 4 + 14 : x = 4 + 14, x = - 4 + 14

解く

x^{2} = 4 - 14 : x = 4 - 14, x = - 4 - 14

解答は

x = 4 + 14, x = - 4 + 14, x = 4 - 14, x = - 4 - 14

グラフ

人気の例

2 x^{4} + 6 = 0

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

(1 + x)^{20} = 40

x^{2} \cdot x^{2} = 81

(1-x)^{10}=0.75

(1 - x)^{10} = 0.75