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人気のある代数 >

12x^4-9x^2-3=0

解

12 x^{4} - 9 x^{2} - 3 = 0

解

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

解答ステップ

12 x^{4} - 9 x^{2} - 3 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

12 u^{2} - 9 u - 3 = 0

解く

12 u^{2} - 9 u - 3 = 0 : u = 1, u = - \frac{1}{4}

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

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

解答は

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

グラフ

人気の例

5 = c^{3}

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

- 2 x^{4} + 9 = 2 x + 3

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