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人気のある代数 >

x^6-2=0

解

x^{6} - 2 = 0

解

x = 32, x = - 32, x = \frac{1}{2 ^{\frac{5}{6}}} + \frac{3}{2 ^{\frac{5}{6}}} i, x = - \frac{1}{2 ^{\frac{5}{6}}} - \frac{3}{2 ^{\frac{5}{6}}} i, x = \frac{1}{2 ^{\frac{5}{6}}} - \frac{3}{2 ^{\frac{5}{6}}} i, x = - \frac{1}{2 ^{\frac{5}{6}}} + \frac{3}{2 ^{\frac{5}{6}}} i

解答ステップ

x^{6} - 2 = 0

2

を右側に移動します

x^{6} = 2

equationを

u = x^{2}

と以下で書き換える:

u^{3} = x^{6}

u^{3} = 2

解く

u^{3} = 2 : u = 32, u = 32 \frac{- 1 + 3 i}{2}, u = 32 \frac{- 1 - 3 i}{2}

u = 32, u = 32 \frac{- 1 + 3 i}{2}, u = 32 \frac{- 1 - 3 i}{2}

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 32 : x = 32, x = - 32

解く

x^{2} = 32 \frac{- 1 + 3 i}{2} : x = \frac{1}{2 ^{\frac{5}{6}}} + \frac{3}{2 ^{\frac{5}{6}}} i, x = - \frac{1}{2 ^{\frac{5}{6}}} - \frac{3}{2 ^{\frac{5}{6}}} i

解く

x^{2} = 32 \frac{- 1 - 3 i}{2} : x = \frac{1}{2 ^{\frac{5}{6}}} - \frac{3}{2 ^{\frac{5}{6}}} i, x = - \frac{1}{2 ^{\frac{5}{6}}} + \frac{3}{2 ^{\frac{5}{6}}} i

解答は

x = 32, x = - 32, x = \frac{1}{2 ^{\frac{5}{6}}} + \frac{3}{2 ^{\frac{5}{6}}} i, x = - \frac{1}{2 ^{\frac{5}{6}}} - \frac{3}{2 ^{\frac{5}{6}}} i, x = \frac{1}{2 ^{\frac{5}{6}}} - \frac{3}{2 ^{\frac{5}{6}}} i, x = - \frac{1}{2 ^{\frac{5}{6}}} + \frac{3}{2 ^{\frac{5}{6}}} i

グラフ

人気の例

根 x^3-11x^2+43x-65

roo t s x^{3} - 11 x^{2} + 43 x - 65

x^4+9x^3+19x^2-18x-56=0

x^{4} + 9 x^{3} + 19 x^{2} - 18 x - 56 = 0

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