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人気のある代数 >

2x^4-x^2-15=0

解

2 x^{4} - x^{2} - 15 = 0

解

x = 3, x = - 3, x = \frac{5}{2} i, x = - \frac{5}{2} i

解答ステップ

2 x^{4} - x^{2} - 15 = 0

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

2 u^{2} - u - 15 = 0

解く

2 u^{2} - u - 15 = 0 : u = 3, u = - \frac{5}{2}

u = 3, u = - \frac{5}{2}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解答は

x = 3, x = - 3, x = \frac{5}{2} i, x = - \frac{5}{2} i

グラフ

人気の例

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