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人気のある代数 >

x^7x=238

解

x^{7} x = 238

解

x = 4238, x = - 4238, x = 4238 i, x = - 4238 i, x = \frac{4 119}{8 2 ^{3}} + \frac{8 119}{8 2 ^{3}} i, x = - \frac{4 119}{8 2 ^{3}} - \frac{8 119}{8 2 ^{3}} i, x = \frac{4 119}{8 2 ^{3}} - \frac{8 119}{8 2 ^{3}} i, x = - \frac{4 119}{8 2 ^{3}} + \frac{8 119}{8 2 ^{3}} i

解答ステップ

x^{7} x = 238

簡素化

x^{8} = 238

equationを

u = x^{2}

と以下で書き換える:

u^{4} = x^{8}

u^{4} = 238

解く

u^{4} = 238 : u = 238, u = - 238, u = 238 i, u = - 238 i

u = 238, u = - 238, u = 238 i, u = - 238 i

再び

u = x^{2}

に置き換えて以下を解く:

x

解く

x^{2} = 238 : x = 4238, x = - 4238

解く

x^{2} = - 238 : x = 4238 i, x = - 4238 i

解く

x^{2} = 238 i : x = \frac{4 119}{8 2 ^{3}} + \frac{8 119}{8 2 ^{3}} i, x = - \frac{4 119}{8 2 ^{3}} - \frac{8 119}{8 2 ^{3}} i

解く

x^{2} = - 238 i : x = \frac{4 119}{8 2 ^{3}} - \frac{8 119}{8 2 ^{3}} i, x = - \frac{4 119}{8 2 ^{3}} + \frac{8 119}{8 2 ^{3}} i

解答は

x = 4238, x = - 4238, x = 4238 i, x = - 4238 i, x = \frac{4 119}{8 2 ^{3}} + \frac{8 119}{8 2 ^{3}} i, x = - \frac{4 119}{8 2 ^{3}} - \frac{8 119}{8 2 ^{3}} i, x = \frac{4 119}{8 2 ^{3}} - \frac{8 119}{8 2 ^{3}} i, x = - \frac{4 119}{8 2 ^{3}} + \frac{8 119}{8 2 ^{3}} i

グラフ

人気の例

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