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人気のある代数 >

2x^4+5x^2+1=0

解

2 x^{4} + 5 x^{2} + 1 = 0

解

x = \frac{- 5 + 17}{4}, x = - \frac{- 5 + 17}{4}, x = \frac{- 5 - 17}{4}, x = - \frac{- 5 - 17}{4}

解答ステップ

2 x^{4} + 5 x^{2} + 1 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

2 u^{2} + 5 u + 1 = 0

解く

2 u^{2} + 5 u + 1 = 0 : u = \frac{- 5 + 17}{4}, u = \frac{- 5 - 17}{4}

u = \frac{- 5 + 17}{4}, u = \frac{- 5 - 17}{4}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{- 5 + 17}{4} : x = \frac{- 5 + 17}{4}, x = - \frac{- 5 + 17}{4}

解く

x^{2} = \frac{- 5 - 17}{4} : x = \frac{- 5 - 17}{4}, x = - \frac{- 5 - 17}{4}

解答は

x = \frac{- 5 + 17}{4}, x = - \frac{- 5 + 17}{4}, x = \frac{- 5 - 17}{4}, x = - \frac{- 5 - 17}{4}

グラフ

人気の例

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

(x^{2} + 3) (x + 1) + x = - 1

3.8 y^{5} = 43.8

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16 x^{4} + 24 x^{2} + 9 x = 0

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