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人気のある代数 >

16z^4=1

解

16 z^{4} = 1

解

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

解答ステップ

16 z^{4} = 1

以下で両辺を割る

16

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

equationを

u = z^{2}

と以下で書き換える:

u^{2} = z^{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 = z^{2}

に置き換えて以下を解く:

z

解く

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

解く

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

解答は

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

グラフ

人気の例

((a^2)/3)^2+(a)^2=50

(\frac{a ^{2}}{3})^{2} + (a)^{2} = 50

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