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人気のある代数 >

x^4-5x^2=4

解

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

解

x = \frac{5 + 41}{2}, x = - \frac{5 + 41}{2}, x = \frac{5 - 41}{2}, x = - \frac{5 - 41}{2}

解答ステップ

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

4

を左側に移動します

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

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} - 5 u - 4 = 0

解く

u^{2} - 5 u - 4 = 0 : u = \frac{5 + 41}{2}, u = \frac{5 - 41}{2}

u = \frac{5 + 41}{2}, u = \frac{5 - 41}{2}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{5 + 41}{2} : x = \frac{5 + 41}{2}, x = - \frac{5 + 41}{2}

解く

x^{2} = \frac{5 - 41}{2} : x = \frac{5 - 41}{2}, x = - \frac{5 - 41}{2}

解答は

x = \frac{5 + 41}{2}, x = - \frac{5 + 41}{2}, x = \frac{5 - 41}{2}, x = - \frac{5 - 41}{2}

グラフ

人気の例

t^{3} + 2 t = 400

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