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人気のある代数 >

30x^4-x^2-1=0

解

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

解

x = \frac{1}{5}, x = - \frac{1}{5}, x = \frac{1}{6} i, x = - \frac{1}{6} i

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

30 u^{2} - u - 1 = 0

解く

30 u^{2} - u - 1 = 0 : u = \frac{1}{5}, u = - \frac{1}{6}

u = \frac{1}{5}, u = - \frac{1}{6}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{1}{5} : x = \frac{1}{5}, x = - \frac{1}{5}

解く

x^{2} = - \frac{1}{6} : x = \frac{1}{6} i, x = - \frac{1}{6} i

解答は

x = \frac{1}{5}, x = - \frac{1}{5}, x = \frac{1}{6} i, x = - \frac{1}{6} i

グラフ

人気の例

m^{3} = 27

x^{5} - 9 x^{3} = 0

3 \cdot 2 + y^{3} = 16 \cdot y + 1

3 x^{4} = 0

x^{4} - 8 x - 9 = 0