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人気のある代数 >

x^6-9x^3+8=0

解

x^{6} - 9 x^{3} + 8 = 0

解

x = 2, x = - 1 + 3 i, x = - 1 - 3 i, x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

解答ステップ

x^{6} - 9 x^{3} + 8 = 0

equationを

u = x^{3}

と以下で書き換える:

u^{2} = x^{6}

u^{2} - 9 u + 8 = 0

解く

u^{2} - 9 u + 8 = 0 : u = 8, u = 1

u = 8, u = 1

再び

u = x^{3}

に置き換えて以下を解く:

x

解く

x^{3} = 8 : x = 2, x = - 1 + 3 i, x = - 1 - 3 i

解く

x^{3} = 1 : x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

解答は

x = 2, x = - 1 + 3 i, x = - 1 - 3 i, x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

グラフ

人気の例

2 x^{3} + 4 x^{2} = 1

(6-x)^4+(8-x)^4=16

(6 - x)^{4} + (8 - x)^{4} = 16

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x^3-6x^3+3x+10=0

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