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人気のある代数 >

2x^4-9x^2+4=0

解

2 x^{4} - 9 x^{2} + 4 = 0

解

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

+1

十進法表記

x = 2, x = - 2, x = 0.70710 \dots, x = - 0.70710 \dots

解答ステップ

2 x^{4} - 9 x^{2} + 4 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

2 u^{2} - 9 u + 4 = 0

解く

2 u^{2} - 9 u + 4 = 0 : u = 4, u = \frac{1}{2}

u = 4, u = \frac{1}{2}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解答は

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

グラフ

人気の例

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

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x^{8} - 15 x^{4} - 16 = 0

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