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人気のある代数 >

z^8=8

解

z^{8} = 8

解

z = 48, z = - 48, z = 48 i, z = - 48 i, z = \frac{1}{4 2} + \frac{1}{8 2} i, z = - \frac{1}{4 2} - \frac{1}{8 2} i, z = \frac{1}{4 2} - \frac{1}{8 2} i, z = - \frac{1}{4 2} + \frac{1}{8 2} i

解答ステップ

z^{8} = 8

equationを

u = z^{2}

と以下で書き換える:

u^{4} = z^{8}

u^{4} = 8

解く

u^{4} = 8 : u = 4 2^{3}, u = - 4 2^{3}, u = 4 2^{3} i, u = - 4 2^{3} i

u = 4 2^{3}, u = - 4 2^{3}, u = 4 2^{3} i, u = - 4 2^{3} i

再び

u = z^{2}

に置き換えて以下を解く:

z

解く

z^{2} = 4 2^{3} : z = 48, z = - 48

解く

z^{2} = - 4 2^{3} : z = 48 i, z = - 48 i

解く

z^{2} = 4 2^{3} i : z = \frac{1}{4 2} + \frac{1}{8 2} i, z = - \frac{1}{4 2} - \frac{1}{8 2} i

解く

z^{2} = - 4 2^{3} i : z = \frac{1}{4 2} - \frac{1}{8 2} i, z = - \frac{1}{4 2} + \frac{1}{8 2} i

解答は

z = 48, z = - 48, z = 48 i, z = - 48 i, z = \frac{1}{4 2} + \frac{1}{8 2} i, z = - \frac{1}{4 2} - \frac{1}{8 2} i, z = \frac{1}{4 2} - \frac{1}{8 2} i, z = - \frac{1}{4 2} + \frac{1}{8 2} i

グラフ

人気の例

2 x^{3} + x^{2} = 0

x^3+x^2+x^1+1=0

x^{3} + x^{2} + x^{1} + 1 = 0

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

4 x^{3} - \frac{4 x}{9} = 0

q^{4} - 2 = 1