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人気のある代数 >

x^8=-256

解

x^{8} = - 256

解

x = 2 + 2 + 2 - 2 i, x = - 2 + 2 - 2 - 2 i, x = - 2 - 2 + 2 + 2 i, x = 2 - 2 - 2 + 2 i, x = 2 - 2 + 2 + 2 i, x = - 2 - 2 - 2 + 2 i, x = - 2 + 2 + 2 - 2 i, x = 2 + 2 - 2 - 2 i

解答ステップ

x^{8} = - 256

equationを

u = x^{2}

と以下で書き換える:

u^{4} = x^{8}

u^{4} = - 256

解く

u^{4} = - 256 : u = 22 + 22 i, u = - 22 - 22 i, u = - 22 + 22 i, u = 22 - 22 i

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

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

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

解く

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

解く

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

解く

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

解答は

x = 2 + 2 + 2 - 2 i, x = - 2 + 2 - 2 - 2 i, x = - 2 - 2 + 2 + 2 i, x = 2 - 2 - 2 + 2 i, x = 2 - 2 + 2 + 2 i, x = - 2 - 2 - 2 + 2 i, x = - 2 + 2 + 2 - 2 i, x = 2 + 2 - 2 - 2 i

グラフ

人気の例

根 x^4-4x^3+4x^2

roo t s x^{4} - 4 x^{3} + 4 x^{2}

4x^3+6x^2-72x-3=0

4 x^{3} + 6 x^{2} - 72 x - 3 = 0

roo t s x^{3} - 2 x - 5

3(2-x)^3-2(2-x)^2-19(2-x)-6=0

3 (2 - x)^{3} - 2 (2 - x)^{2} - 19 (2 - x) - 6 = 0

x^3+2x^2+16x+32=0

x^{3} + 2 x^{2} + 16 x + 32 = 0