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人気のある代数 >

x^4-6x^2+4=0

解

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

解

x = 3 + 5, x = - 3 + 5, x = 3 - 5, x = - 3 - 5

+1

十進法表記

x = 2.28824 \dots, x = - 2.28824 \dots, x = 0.87403 \dots, x = - 0.87403 \dots

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 6 u + 4 = 0

解く

u^{2} - 6 u + 4 = 0 : u = 3 + 5, u = 3 - 5

u = 3 + 5, u = 3 - 5

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 3 + 5 : x = 3 + 5, x = - 3 + 5

解く

x^{2} = 3 - 5 : x = 3 - 5, x = - 3 - 5

解答は

x = 3 + 5, x = - 3 + 5, x = 3 - 5, x = - 3 - 5

グラフ

人気の例

(x^{4} - 4) = 0

y + y^{3} = 2

x^{3} - 3 x + 4 = 6.1

y^{4} = 36

x^{3} + x^{2} = 49 x + 49