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人気のある代数 >

3x^4-8x^2-4=0

解

3 x^{4} - 8 x^{2} - 4 = 0

解

x = \frac{2 ( 2 + 7 )}{3}, x = - \frac{2 ( 2 + 7 )}{3}, x = \frac{2 ( 2 - 7 )}{3}, x = - \frac{2 ( 2 - 7 )}{3}

解答ステップ

3 x^{4} - 8 x^{2} - 4 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

3 u^{2} - 8 u - 4 = 0

解く

3 u^{2} - 8 u - 4 = 0 : u = \frac{2 ( 2 + 7 )}{3}, u = \frac{2 ( 2 - 7 )}{3}

u = \frac{2 ( 2 + 7 )}{3}, u = \frac{2 ( 2 - 7 )}{3}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{2 ( 2 + 7 )}{3} : x = \frac{2 ( 2 + 7 )}{3}, x = - \frac{2 ( 2 + 7 )}{3}

解く

x^{2} = \frac{2 ( 2 - 7 )}{3} : x = \frac{2 ( 2 - 7 )}{3}, x = - \frac{2 ( 2 - 7 )}{3}

解答は

x = \frac{2 ( 2 + 7 )}{3}, x = - \frac{2 ( 2 + 7 )}{3}, x = \frac{2 ( 2 - 7 )}{3}, x = - \frac{2 ( 2 - 7 )}{3}

グラフ

人気の例

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

4x+6x^3-2x^2+7=0

4 x + 6 x^{3} - 2 x^{2} + 7 = 0

0.000237=2.37x^{10}

0.000237 = 2.37 x^{10}

x^3-3x^2+3x-9=0

x^{3} - 3 x^{2} + 3 x - 9 = 0

x^1-2x^2+x^3-3x^4=1

x^{1} - 2 x^{2} + x^{3} - 3 x^{4} = 1