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人気のある代数 >

(x^4)/3 =16

解

\frac{x ^{4}}{3} = 16

解

x = 243, x = - 243, x = 23 i, x = - 23 i

解答ステップ

\frac{x ^{4}}{3} = 16

以下で両辺を乗じる:

3

x^{4} = 48

equationを

u = x^{2}

と以下で書き換える:

u^{2} = x^{4}

u^{2} = 48

解く

u^{2} = 48 : u = 48, u = - 48

u = 48, u = - 48

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 48 : x = 243, x = - 243

解く

x^{2} = - 48 : x = 23 i, x = - 23 i

解答は

x = 243, x = - 243, x = 23 i, x = - 23 i

グラフ

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