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人気のある代数 >

x^8=32

解

x^{8} = 32

解

x = 8 2^{5}, x = - 8 2^{5}, x = 8 2^{5} i, x = - 8 2^{5} i, x = 42 + 82 i, x = - 42 - 82 i, x = 42 - 82 i, x = - 42 + 82 i

解答ステップ

x^{8} = 32

equationを

u = x^{2}

と以下で書き換える:

u^{4} = x^{8}

u^{4} = 32

解く

u^{4} = 32 : u = 242, u = - 242, u = 22 i, u = - 22 i

u = 242, u = - 242, u = 22 i, u = - 22 i

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 242 : x = 8 2^{5}, x = - 8 2^{5}

解く

x^{2} = - 242 : x = 8 2^{5} i, x = - 8 2^{5} i

解く

x^{2} = 22 i : x = 42 + 82 i, x = - 42 - 82 i

解く

x^{2} = - 22 i : x = 42 - 82 i, x = - 42 + 82 i

解答は

x = 8 2^{5}, x = - 8 2^{5}, x = 8 2^{5} i, x = - 8 2^{5} i, x = 42 + 82 i, x = - 42 - 82 i, x = 42 - 82 i, x = - 42 + 82 i

グラフ

人気の例

-x^3+8x^2-4x-48=0

- x^{3} + 8 x^{2} - 4 x - 48 = 0

12 = + x x^{3}

m^{3} = 5

x^3-4x^2-53x+168=0

x^{3} - 4 x^{2} - 53 x + 168 = 0

x^{3} - 3 x = 1