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人気のある代数 >

6x^4-5x^2-1=0

解

6 x^{4} - 5 x^{2} - 1 = 0

解

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

解答ステップ

6 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}

6 u^{2} - 5 u - 1 = 0

解く

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

u = 1, 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} = 1 : x = 1, x = - 1

解く

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

解答は

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

グラフ

人気の例

x^{3} + x^{2} - 5 x = 0

2x(x^2-100)(9x^2-25)=0

2 x (x^{2} - 100) (9 x^{2} - 25) = 0

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

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

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

x^{4} - 7 x^{2} - 144 = 0