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人気のある代数 >

16x^4-625=0

解

16 x^{4} - 625 = 0

解

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

解答ステップ

16 x^{4} - 625 = 0

625

を右側に移動します

16 x^{4} = 625

以下で両辺を割る

16

x^{4} = \frac{625}{16}

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} = \frac{625}{16}

解く

u^{2} = \frac{625}{16} : u = \frac{625}{16}, u = - \frac{625}{16}

u = \frac{625}{16}, u = - \frac{625}{16}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = \frac{625}{16} : x = \frac{5}{2}, x = - \frac{5}{2}

解く

x^{2} = - \frac{625}{16} : x = \frac{5}{2} i, x = - \frac{5}{2} i

解答は

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

グラフ

人気の例

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