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人気のある代数 >

3x^4-5x^2-2=0

解

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

解

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

解答ステップ

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

3 u^{2} - 5 u - 2 = 0

解く

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

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

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解答は

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

グラフ

人気の例

(x^2-x)^2-5(x^2-x)+6=0

(x^{2} - x)^{2} - 5 (x^{2} - x) + 6 = 0

6x^4-x^3-26x+4x+8=0

6 x^{4} - x^{3} - 26 x + 4 x + 8 = 0

t^{4} - t^{2} = 2

(2x)^4+(x^2-1)^2=-1

(2 x)^{4} + (x^{2} - 1)^{2} = - 1

12 x^{3} = 4