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人気のある代数 >

192x^4-12=0

解

192 x^{4} - 12 = 0

解

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

解答ステップ

192 x^{4} - 12 = 0

12

を右側に移動します

192 x^{4} = 12

以下で両辺を割る

192

x^{4} = \frac{1}{16}

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} = \frac{1}{16}

解く

u^{2} = \frac{1}{16} : u = \frac{1}{16}, u = - \frac{1}{16}

u = \frac{1}{16}, u = - \frac{1}{16}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{1}{16} : x = \frac{1}{2}, x = - \frac{1}{2}

解く

x^{2} = - \frac{1}{16} : x = \frac{1}{2} i, x = - \frac{1}{2} i

解答は

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

グラフ

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