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人気のある代数 >

-z^8=-64

解

- z^{8} = - 64

解

z = 4 2^{3}, z = - 4 2^{3}, z = 4 2^{3} i, z = - 4 2^{3} i, z = 42 + 42 i, z = - 42 - 42 i, z = 42 - 42 i, z = - 42 + 42 i

解答ステップ

- z^{8} = - 64

以下で両辺を割る

- 1

z^{8} = 64

equationを

u = z^{2}

と以下で書き換える:

u^{4} = z^{8}

u^{4} = 64

解く

u^{4} = 64 : u = 22, u = - 22, u = 22 i, u = - 22 i

u = 22, u = - 22, u = 22 i, u = - 22 i

再び

u = z^{2}

に置き換えて以下を解く:

z

解く

z^{2} = 22 : z = 4 2^{3}, z = - 4 2^{3}

解く

z^{2} = - 22 : z = 4 2^{3} i, z = - 4 2^{3} i

解く

z^{2} = 22 i : z = 42 + 42 i, z = - 42 - 42 i

解く

z^{2} = - 22 i : z = 42 - 42 i, z = - 42 + 42 i

解答は

z = 4 2^{3}, z = - 4 2^{3}, z = 4 2^{3} i, z = - 4 2^{3} i, z = 42 + 42 i, z = - 42 - 42 i, z = 42 - 42 i, z = - 42 + 42 i

グラフ

人気の例

2x^3-7x^2+13x=0

2 x^{3} - 7 x^{2} + 13 x = 0

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b^{3} - 125 = 0