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人気のある代数 >

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

解

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

解

x = \frac{2 + 1}{2}, x = - \frac{2 + 1}{2}, x = \frac{2 - 1}{2}, x = - \frac{2 - 1}{2}

+1

十進法表記

x = 1.30656 \dots, x = - 1.30656 \dots, x = 0.54119 \dots, x = - 0.54119 \dots

解答ステップ

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

解く

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

u = \frac{2 + 2}{2}, u = \frac{2 - 2}{2}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{2 + 2}{2} : x = \frac{2 + 1}{2}, x = - \frac{2 + 1}{2}

解く

x^{2} = \frac{2 - 2}{2} : x = \frac{2 - 1}{2}, x = - \frac{2 - 1}{2}

解答は

x = \frac{2 + 1}{2}, x = - \frac{2 + 1}{2}, x = \frac{2 - 1}{2}, x = - \frac{2 - 1}{2}

グラフ

人気の例

(x - 3)^{4} - 30 = 0

x^3+3x^2+2x+7=0

x^{3} + 3 x^{2} + 2 x + 7 = 0

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

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