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人気のある代数 >

x^6=23

解

x^{6} = 23

解

x = 323, x = - 323, x = \frac{- 3 23 + 2 2 3 ^{\frac{2}{3}}}{2} + \frac{3 23 3}{2 - 3 23 + 2 2 3 ^{\frac{2}{3}}} i, x = - \frac{- 3 23 + 2 2 3 ^{\frac{2}{3}}}{2} - \frac{3 23 3}{2 - 3 23 + 2 2 3 ^{\frac{2}{3}}} i, x = \frac{- 3 23 + 2 2 3 ^{\frac{2}{3}}}{2} - \frac{3 23 3}{2 - 3 23 + 2 2 3 ^{\frac{2}{3}}} i, x = - \frac{- 3 23 + 2 2 3 ^{\frac{2}{3}}}{2} + \frac{3 23 3}{2 - 3 23 + 2 2 3 ^{\frac{2}{3}}} i

解答ステップ

x^{6} = 23

equationを

u = x^{2}

と以下で書き換える:

u^{3} = x^{6}

u^{3} = 23

解く

u^{3} = 23 : u = 323, u = 323 \frac{- 1 + 3 i}{2}, u = 323 \frac{- 1 - 3 i}{2}

u = 323, u = 323 \frac{- 1 + 3 i}{2}, u = 323 \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} = 323 : x = 323, x = - 323

解く

x^{2} = 323 \frac{- 1 + 3 i}{2} : x = \frac{- 3 23 + 2 2 3 ^{\frac{2}{3}}}{2} + \frac{3 23 3}{2 - 3 23 + 2 2 3 ^{\frac{2}{3}}} i, x = - \frac{- 3 23 + 2 2 3 ^{\frac{2}{3}}}{2} - \frac{3 23 3}{2 - 3 23 + 2 2 3 ^{\frac{2}{3}}} i

解く

x^{2} = 323 \frac{- 1 - 3 i}{2} : x = \frac{- 3 23 + 2 2 3 ^{\frac{2}{3}}}{2} - \frac{3 23 3}{2 - 3 23 + 2 2 3 ^{\frac{2}{3}}} i, x = - \frac{- 3 23 + 2 2 3 ^{\frac{2}{3}}}{2} + \frac{3 23 3}{2 - 3 23 + 2 2 3 ^{\frac{2}{3}}} i

解答は

x = 323, x = - 323, x = \frac{- 3 23 + 2 2 3 ^{\frac{2}{3}}}{2} + \frac{3 23 3}{2 - 3 23 + 2 2 3 ^{\frac{2}{3}}} i, x = - \frac{- 3 23 + 2 2 3 ^{\frac{2}{3}}}{2} - \frac{3 23 3}{2 - 3 23 + 2 2 3 ^{\frac{2}{3}}} i, x = \frac{- 3 23 + 2 2 3 ^{\frac{2}{3}}}{2} - \frac{3 23 3}{2 - 3 23 + 2 2 3 ^{\frac{2}{3}}} i, x = - \frac{- 3 23 + 2 2 3 ^{\frac{2}{3}}}{2} + \frac{3 23 3}{2 - 3 23 + 2 2 3 ^{\frac{2}{3}}} i

グラフ

人気の例

x^{6} = 2 x

-a^3+12a^2-32a=0

- a^{3} + 12 a^{2} - 32 a = 0

X^{3} - 3 X^{2} + 20 = 0

s(s+3)(s^2+2s+2)=0

s (s + 3) (s^{2} + 2 s + 2) = 0

256/625 =100r^6

\frac{256}{625} = 100 r^{6}