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人気のある代数 >

2x^4+3x^2-20=0

解

2 x^{4} + 3 x^{2} - 20 = 0

解

x = \frac{5}{2}, x = - \frac{5}{2}, x = 2 i, x = - 2 i

解答ステップ

2 x^{4} + 3 x^{2} - 20 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

2 u^{2} + 3 u - 20 = 0

解く

2 u^{2} + 3 u - 20 = 0 : u = \frac{5}{2}, u = - 4

u = \frac{5}{2}, u = - 4

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{5}{2} : x = \frac{5}{2}, x = - \frac{5}{2}

解く

x^{2} = - 4 : x = 2 i, x = - 2 i

解答は

x = \frac{5}{2}, x = - \frac{5}{2}, x = 2 i, x = - 2 i

グラフ

人気の例

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