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人気のある代数 >

x^6-12x^3+27=0

解

x^{6} - 12 x^{3} + 27 = 0

解

x = 39, x = - 39 \frac{1}{2} + 39 \frac{3}{2} i, x = - 39 \frac{1}{2} - 39 \frac{3}{2} i, x = 33, x = - 33 \frac{1}{2} + 33 \frac{3}{2} i, x = - 33 \frac{1}{2} - 33 \frac{3}{2} i

解答ステップ

x^{6} - 12 x^{3} + 27 = 0

equationを

u = x^{3}

と以下で書き換える:

u^{2} = x^{6}

u^{2} - 12 u + 27 = 0

解く

u^{2} - 12 u + 27 = 0 : u = 9, u = 3

u = 9, u = 3

再び

u = x^{3}

に置き換えて以下を解く:

x

解く

x^{3} = 9 : x = 39, x = - 39 \frac{1}{2} + 39 \frac{3}{2} i, x = - 39 \frac{1}{2} - 39 \frac{3}{2} i

解く

x^{3} = 3 : x = 33, x = - 33 \frac{1}{2} + 33 \frac{3}{2} i, x = - 33 \frac{1}{2} - 33 \frac{3}{2} i

解答は

x = 39, x = - 39 \frac{1}{2} + 39 \frac{3}{2} i, x = - 39 \frac{1}{2} - 39 \frac{3}{2} i, x = 33, x = - 33 \frac{1}{2} + 33 \frac{3}{2} i, x = - 33 \frac{1}{2} - 33 \frac{3}{2} i

グラフ

人気の例

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