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人気のある代数 >

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

解

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

解

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

解答ステップ

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

標準的な形式で書く

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- 4 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}

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

解く

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

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

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解答は

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

グラフ

人気の例

8 = x^{5}

-x^3+2x^2-x+2=0

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

115.76=100(1+x)^3

115.76 = 100 (1 + x)^{3}

x^4-8x^3+92x^2-32x+169=0

x^{4} - 8 x^{3} + 92 x^{2} - 32 x + 169 = 0

x^{4} + 5 = 6 x^{2}