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人気のある代数 >

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

解

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

解

x = \frac{2}{3}, x = - \frac{2}{3}, x = \frac{1}{2} i, x = - \frac{1}{2} i

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

6 u^{2} - 5 u - 4 = 0

解く

6 u^{2} - 5 u - 4 = 0 : u = \frac{4}{3}, u = - \frac{1}{2}

u = \frac{4}{3}, 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} = \frac{4}{3} : x = \frac{2}{3}, x = - \frac{2}{3}

解く

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

解答は

x = \frac{2}{3}, x = - \frac{2}{3}, x = \frac{1}{2} i, x = - \frac{1}{2} i

グラフ

人気の例

3 x^{3} - 4 x + 12 = 0

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

(x+3)(x^2+1)^2=0

(x + 3) (x^{2} + 1)^{2} = 0

2 t^{4} + 432 t = 2 t

48 x^{2} = 3 x^{4}