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人気のある代数 >

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

解

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

解

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

解答ステップ

6 x^{4} + 2 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} + 2 u - 4 = 0

解く

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

u = \frac{2}{3}, u = - 1

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{2}{3} : x = \frac{2}{3}, x = - \frac{2}{3}

解く

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

解答は

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

グラフ

人気の例

x^{4} + 7 = 12

0 = 9 x - x^{3}

x^4+27x^3+212x^2+380x=0

x^{4} + 27 x^{3} + 212 x^{2} + 380 x = 0

x^{3} - 196 x = 0

t^{3} - 5 t = 0