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人気のある代数 >

x^6+x^3-42=0

解

x^{6} + x^{3} - 42 = 0

解

x = 36, x = - 36 \frac{1}{2} + 36 \frac{3}{2} i, x = - 36 \frac{1}{2} - 36 \frac{3}{2} i, x = - 37, x = - \frac{3 7 ( - 1 + 3 i )}{2}, x = - \frac{3 7 ( - 1 - 3 i )}{2}

解答ステップ

x^{6} + x^{3} - 42 = 0

equationを

u = x^{3}

と以下で書き換える:

u^{2} = x^{6}

u^{2} + u - 42 = 0

解く

u^{2} + u - 42 = 0 : u = 6, u = - 7

u = 6, u = - 7

再び

u = x^{3}

に置き換えて以下を解く:

x

解く

x^{3} = 6 : x = 36, x = - 36 \frac{1}{2} + 36 \frac{3}{2} i, x = - 36 \frac{1}{2} - 36 \frac{3}{2} i

解く

x^{3} = - 7 : x = - 37, x = - \frac{3 7 ( - 1 + 3 i )}{2}, x = - \frac{3 7 ( - 1 - 3 i )}{2}

解答は

x = 36, x = - 36 \frac{1}{2} + 36 \frac{3}{2} i, x = - 36 \frac{1}{2} - 36 \frac{3}{2} i, x = - 37, x = - \frac{3 7 ( - 1 + 3 i )}{2}, x = - \frac{3 7 ( - 1 - 3 i )}{2}

グラフ

人気の例

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